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Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz
Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz
Autore Katz Nicholas M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (445 pages) : illustrations
Disciplina 512/.73
Collana Annals of Mathematics Studies
Soggetto topico Exponential sums
Differential equations
Soggetto non controllato Adjoint representation
Algebraic geometry
Algebraic integer
Algebraically closed field
Automorphism
Base change
Bernard Dwork
Big O notation
Bijection
Calculation
Characteristic polynomial
Codimension
Coefficient
Cohomology
Comparison theorem
Complex manifold
Conjugacy class
Connected component (graph theory)
Convolution
Determinant
Diagram (category theory)
Differential Galois theory
Differential equation
Dimension (vector space)
Dimension
Direct sum
Divisor
Eigenvalues and eigenvectors
Endomorphism
Equation
Euler characteristic
Existential quantification
Exponential sum
Fiber bundle
Field of fractions
Finite field
Formal power series
Fourier transform
Fundamental group
Fundamental representation
Galois extension
Galois group
Gauss sum
Generic point
Group theory
Homomorphism
Hypergeometric function
Identity component
Identity element
Integer
Irreducibility (mathematics)
Irreducible representation
Isogeny
Isomorphism class
L-function
Laurent polynomial
Lie algebra
Logarithm
Mathematical induction
Matrix coefficient
Maximal compact subgroup
Maximal torus
Mellin transform
Monic polynomial
Monodromy theorem
Monodromy
Monomial
Natural number
Normal subgroup
P-adic number
Permutation
Polynomial
Prime number
Pullback
Quotient group
Reductive group
Regular singular point
Representation theory
Ring homomorphism
Root of unity
Scientific notation
Set (mathematics)
Sheaf (mathematics)
Special case
Subcategory
Subgroup
Subring
Subset
Summation
Surjective function
Symmetric group
Tensor product
Theorem
Theory
Three-dimensional space (mathematics)
Torsor (algebraic geometry)
Trichotomy (mathematics)
Unitarian trick
Unitary group
Variable (mathematics)
ISBN 1-4008-8243-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- CHAPTER 1. Results from Representation Theory -- CHAPTER 2. D.E.'s and D-modules -- CHAPTER 3. The Generalized Hypergeometric Equation -- CHAPTER 4. Detailed Analysis of the Exceptional Cases -- CHAPTER 5. Convolution of D-modules -- CHAPTER 6. Fourier Transforms of Kummer Pullbacks of Hypergeometrics -- CHAPTER 7. The ℓ- adic Theory -- CHAPTER 8. ℓ-adic Hypergeometrics -- CHAPTER 9. G2 Examples, Fourier Transforms, and Hypergeometrics -- CHAPTER 10. ℓ -adic Exceptional Cases -- CHAPTER 11. Reductive Tannakian Categories -- CHAPTER 12. Fourier Universality -- CHAPTER 13. Stratifications and Convolution -- CHAPTER 14. The Fundamental Comparison Theorems -- References
Record Nr. UNINA-9910154744703321
Katz Nicholas M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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Higher topos theory [[electronic resource] /] / Jacob Lurie
Higher topos theory [[electronic resource] /] / Jacob Lurie
Autore Lurie Jacob <1977->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, 2009
Descrizione fisica 1 online resource (944 p.)
Disciplina 512/.62
Collana Annals of mathematics studies
Soggetto topico Toposes
Categories (Mathematics)
Soggetto non controllato Adjoint functors
Associative property
Base change map
Base change
CW complex
Canonical map
Cartesian product
Category of sets
Category theory
Coequalizer
Cofinality
Coherence theorem
Cohomology
Cokernel
Commutative property
Continuous function (set theory)
Contractible space
Coproduct
Corollary
Derived category
Diagonal functor
Diagram (category theory)
Dimension theory (algebra)
Dimension theory
Dimension
Enriched category
Epimorphism
Equivalence class
Equivalence relation
Existence theorem
Existential quantification
Factorization system
Functor category
Functor
Fundamental group
Grothendieck topology
Grothendieck universe
Group homomorphism
Groupoid
Heyting algebra
Higher Topos Theory
Higher category theory
Homotopy category
Homotopy colimit
Homotopy group
Homotopy
I0
Inclusion map
Inductive dimension
Initial and terminal objects
Inverse limit
Isomorphism class
Kan extension
Limit (category theory)
Localization of a category
Maximal element
Metric space
Model category
Monoidal category
Monoidal functor
Monomorphism
Monotonic function
Morphism
Natural transformation
Nisnevich topology
Noetherian topological space
Noetherian
O-minimal theory
Open set
Power series
Presheaf (category theory)
Prime number
Pullback (category theory)
Pushout (category theory)
Quillen adjunction
Quotient by an equivalence relation
Regular cardinal
Retract
Right inverse
Sheaf (mathematics)
Sheaf cohomology
Simplicial category
Simplicial set
Special case
Subcategory
Subset
Surjective function
Tensor product
Theorem
Topological space
Topology
Topos
Total order
Transitive relation
Universal property
Upper and lower bounds
Weak equivalence (homotopy theory)
Yoneda lemma
Zariski topology
Zorn's lemma
ISBN 1-282-64495-5
9786612644955
1-4008-3055-9
Classificazione SI 830
SK 320
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. An Overview Of Higher Category Theory -- Chapter Two. Fibrations Of Simplicial Sets -- Chapter Three. The ∞-Category Of ∞-Categories -- Chapter Four. Limits And Colimits -- Chapter Five. Presentable And Accessible ∞-Categories -- Chapter Six. ∞-Topoi -- Chapter Seven. Higher Topos Theory In Topology -- Appendix -- Bibliography -- General Index -- Index Of Notation
Record Nr. UNINA-9910784939903321
Lurie Jacob <1977->  
Princeton, N.J., : Princeton University Press, 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
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K-Theory of Forms. (AM-98), Volume 98 / / Anthony Bak
K-Theory of Forms. (AM-98), Volume 98 / / Anthony Bak
Autore Bak Anthony
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (280 pages)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico K-theory
Modules (Algebra)
Forms (Mathematics)
Soggetto non controllato Abelian group
Addition
Algebraic K-theory
Algebraic topology
Approximation
Arithmetic
Canonical map
Coefficient
Cokernel
Computation
Coprime integers
Coset
Direct limit
Direct product
Division ring
Elementary matrix
Exact sequence
Finite group
Finite ring
Free module
Functor
General linear group
Global field
Group homomorphism
Group ring
Homology (mathematics)
Integer
Invertible matrix
Isomorphism class
K-theory
Linear map
Local field
Matrix group
Maxima and minima
Mayer–Vietoris sequence
Module (mathematics)
Monoid
Morphism
Natural transformation
Normal subgroup
P-group
Parameter
Power of two
Product category
Projective module
Quadratic form
Requirement
Ring of integers
Semisimple algebra
Sesquilinear form
Special case
Steinberg group (K-theory)
Steinberg group
Subcategory
Subgroup
Subspace topology
Surjective function
Theorem
Theory
Topological group
Topological ring
Topology
Torsion subgroup
Triviality (mathematics)
Unification (computer science)
Unitary group
Witt group
ISBN 1-4008-8141-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- §1. INTRODUCTION -- §2. HYPERBOLIC AND METABOLIC MODULES -- §3. AUTOMORPHISM GROUPS OF NONSINGULAR MODULES -- §4. K-THEORY GROUPS OF NONSINGULAR MODULES -- §5. HOMOLOGY EXACT SEQUENCES -- §6. K-THEORY IN CATEGORIES WITH PRODUCT -- §7. K-THEORY OF NONSINGULAR AND PROJECTIVE MODULES -- §8. COMPARISON EXACT SEQUENCES -- §9. SCALING AND MORITA THEORY -- §10. REDUCTION MODULO A COMPLETE IDEAL -- §11. CHANGE OF FORM PARAMETER -- §12. INDUCTION THEORY -- §13. ALTERNATE DEFINITIONS OF QUADRATIC MODULES -- §14. REMARKS ON NOTATION -- §15. WALL'S SURGERY GROUPS -- BIBLIOGRAPHY -- SUBJECT INDEX -- NOTATION INDEX -- Backmatter
Record Nr. UNINA-9910154747603321
Bak Anthony  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Lie Equations, Vol. I : General Theory. (AM-73) / / Donald Clayton Spencer, Antonio Kumpera
Lie Equations, Vol. I : General Theory. (AM-73) / / Donald Clayton Spencer, Antonio Kumpera
Autore Kumpera Antonio
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (312 pages)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico Lie groups
Lie algebras
Differential equations
Soggetto non controllato Adjoint representation
Adjoint
Affine transformation
Alexander Grothendieck
Analytic function
Associative algebra
Atlas (topology)
Automorphism
Bernhard Riemann
Big O notation
Bundle map
Category of topological spaces
Cauchy–Riemann equations
Coefficient
Commutative diagram
Commutator
Complex conjugate
Complex group
Complex manifold
Computation
Conformal map
Continuous function
Coordinate system
Corollary
Cotangent bundle
Curvature tensor
Deformation theory
Derivative
Diagonal
Diffeomorphism
Differentiable function
Differential form
Differential operator
Differential structure
Direct proof
Direct sum
Ellipse
Endomorphism
Equation
Exact sequence
Exactness
Existential quantification
Exponential function
Exponential map (Riemannian geometry)
Exterior derivative
Fiber bundle
Fibration
Frame bundle
Frobenius theorem (differential topology)
Frobenius theorem (real division algebras)
Group isomorphism
Groupoid
Holomorphic function
Homeomorphism
Integer
J-invariant
Jacobian matrix and determinant
Jet bundle
Linear combination
Linear map
Manifold
Maximal ideal
Model category
Morphism
Nonlinear system
Open set
Parameter
Partial derivative
Partial differential equation
Pointwise
Presheaf (category theory)
Pseudo-differential operator
Pseudogroup
Quantity
Regular map (graph theory)
Requirement
Riemann surface
Right inverse
Scalar multiplication
Sheaf (mathematics)
Special case
Structure tensor
Subalgebra
Subcategory
Subgroup
Submanifold
Subset
Tangent bundle
Tangent space
Tangent vector
Tensor field
Tensor product
Theorem
Torsion tensor
Transpose
Variable (mathematics)
Vector bundle
Vector field
Vector space
Volume element
ISBN 1-4008-8173-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Foreword -- Glossary of Symbols -- Table of Contents -- Introduction -- A. Integrability of Lie Structures -- B. Deformation Theory of Lie Structures -- Chapter I. Jet Sheaves and Differential Equations -- Chapter II. Linear Lie Equations -- Chapter III. Derivations and Brackets -- Chapter IV. Non-Linear Complexes -- Chapter V. Derivations of Jet Forms -- Appendix. Lie Groupoids -- References -- Index
Record Nr. UNINA-9910154751903321
Kumpera Antonio  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128 / / Douglas C. Ravenel
Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128 / / Douglas C. Ravenel
Autore Ravenel Douglas C.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (225 pages)
Disciplina 514/.24
Collana Annals of Mathematics Studies
Soggetto topico Homotopy theory
Soggetto non controllato Abelian category
Abelian group
Adams spectral sequence
Additive category
Affine space
Algebra homomorphism
Algebraic closure
Algebraic structure
Algebraic topology (object)
Algebraic topology
Algebraic variety
Algebraically closed field
Atiyah–Hirzebruch spectral sequence
Automorphism
Boolean algebra (structure)
CW complex
Canonical map
Cantor set
Category of topological spaces
Category theory
Classification theorem
Classifying space
Cohomology operation
Cohomology
Cokernel
Commutative algebra
Commutative ring
Complex projective space
Complex vector bundle
Computation
Conjecture
Conjugacy class
Continuous function
Contractible space
Coproduct
Differentiable manifold
Disjoint union
Division algebra
Equation
Explicit formulae (L-function)
Functor
G-module
Groupoid
Homology (mathematics)
Homomorphism
Homotopy category
Homotopy group
Homotopy
Hopf algebra
Hurewicz theorem
Inclusion map
Infinite product
Integer
Inverse limit
Irreducible representation
Isomorphism class
K-theory
Loop space
Mapping cone (homological algebra)
Mathematical induction
Modular representation theory
Module (mathematics)
Monomorphism
Moore space
Morava K-theory
Morphism
N-sphere
Noetherian ring
Noetherian
Noncommutative ring
Number theory
P-adic number
Piecewise linear manifold
Polynomial ring
Polynomial
Power series
Prime number
Principal ideal domain
Profinite group
Reduced homology
Ring (mathematics)
Ring homomorphism
Ring spectrum
Simplicial complex
Simply connected space
Smash product
Special case
Spectral sequence
Steenrod algebra
Sub"ient
Subalgebra
Subcategory
Subring
Symmetric group
Tensor product
Theorem
Topological space
Topology
Vector bundle
Zariski topology
ISBN 1-4008-8248-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Introduction -- Chapter 1. The main theorems -- Chapter 2. Homotopy groups and the chromatic filtration -- Chapter 3. MU-theory and formal group laws -- Chapter 4. Morava's orbit picture and Morava stabilizer groups -- Chapter 5. The thick subcategory theorem -- Chapter 6. The periodicity theorem -- Chapter 7. Bousfield localization and equivalence -- Chapter 8. The proofs of the localization, smash product and chromatic convergence theorems -- Chapter 9. The proof of the nilpotence theorem -- Appendix A. Some tools from homotopy theory -- Appendix B. Complex bordism and BP-theory -- Appendix C. Some idempotents associated with the symmetric group -- Bibliography -- Index
Record Nr. UNINA-9910154751603321
Ravenel Douglas C.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 / / Stephen S. Shatz
Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 / / Stephen S. Shatz
Autore Shatz Stephen S.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (265 pages)
Disciplina 512/.2
Collana Annals of Mathematics Studies
Soggetto topico Homology theory
Finite groups
Algebraic number theory
Soggetto non controllato Abelian group
Alexander Grothendieck
Algebraic closure
Algebraic extension
Algebraic geometry
Algebraic number field
Brauer group
Category of abelian groups
Category of sets
Characterization (mathematics)
Class field theory
Cohomological dimension
Cohomology
Cokernel
Commutative diagram
Composition series
Computation
Connected component (graph theory)
Coset
Cup product
Dedekind domain
Degeneracy (mathematics)
Diagram (category theory)
Dimension (vector space)
Diophantine geometry
Discrete group
Equivalence of categories
Exact sequence
Existential quantification
Explicit formula
Exponential function
Family of sets
Field extension
Finite group
Fundamental class
G-module
Galois cohomology
Galois extension
Galois group
Galois module
Galois theory
General topology
Geometry
Grothendieck topology
Group cohomology
Group extension
Group scheme
Group theory
Hilbert symbol
Hopf algebra
Ideal (ring theory)
Inequality (mathematics)
Injective sheaf
Inner automorphism
Inverse limit
Kummer theory
Lie algebra
Linear independence
Local field
Mathematical induction
Mathematician
Mathematics
Module (mathematics)
Morphism
Natural topology
Neighbourhood (mathematics)
Normal extension
Normal subgroup
Number theory
P-adic number
P-group
Polynomial
Pontryagin duality
Power series
Prime number
Principal ideal
Profinite group
Quadratic reciprocity
Quotient group
Ring of integers
Sheaf (mathematics)
Special case
Subcategory
Subgroup
Supernatural number
Sylow theorems
Tangent space
Theorem
Topological group
Topological property
Topological ring
Topological space
Topology
Torsion group
Torsion subgroup
Transcendence degree
Triviality (mathematics)
Unique factorization domain
Variable (mathematics)
Vector space
ISBN 1-4008-8185-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- CHAPTER I. PROFINITE GROUPS -- CHAPTER II. COHOMOLOGY OF PROFINITE GROUPS -- CHAPTER III. COHOMOLOGICAL DIMENSION -- CHAPTER IV. GALOIS COHOMOLOGY AND FIELD THEORY -- CHAPTER V. LOCAL CLASS FIELD THEORY -- CHAPTER VI. DUALITY -- BIBLIOGRAPHY
Record Nr. UNINA-9910154751103321
Shatz Stephen S.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / / R. D. Anderson
Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / / R. D. Anderson
Autore Anderson R. D.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (312 pages)
Disciplina 514
Collana Annals of Mathematics Studies
Soggetto topico Topology
Functional analysis
Differential topology
Soggetto non controllato Anderson's theorem
Annihilator (ring theory)
Automorphism
Baire measure
Banach algebra
Banach manifold
Banach space
Bounded operator
Cartesian product
Characterization (mathematics)
Cohomology
Compact space
Complement (set theory)
Complete metric space
Connected space
Continuous function
Convex set
Coset
Critical point (mathematics)
Diagram (category theory)
Differentiable manifold
Differential topology
Dimension (vector space)
Dimension
Dimensional analysis
Dual space
Duality (mathematics)
Endomorphism
Equivalence class
Euclidean space
Existential quantification
Explicit formulae (L-function)
Exponential map (Riemannian geometry)
Fixed-point theorem
Fréchet derivative
Fréchet space
Fuchsian group
Function space
Fundamental class
Haar measure
Hessian matrix
Hilbert space
Homeomorphism
Homology (mathematics)
Homotopy group
Homotopy
Inclusion map
Infimum and supremum
Lebesgue space
Lefschetz fixed-point theorem
Limit point
Linear space (geometry)
Locally convex topological vector space
Loop space
Mathematical optimization
Measure (mathematics)
Metric space
Module (mathematics)
Natural topology
Neighbourhood (mathematics)
Normal space
Normed vector space
Open set
Ordinal number
Paracompact space
Partition of unity
Path space
Product topology
Quantifier (logic)
Quotient space (linear algebra)
Quotient space (topology)
Radon measure
Reflexive space
Representation theorem
Riemannian manifold
Schauder fixed point theorem
Sign (mathematics)
Simply connected space
Space form
Special case
Stiefel manifold
Strong operator topology
Subcategory
Submanifold
Subset
Tangent space
Teichmüller space
Theorem
Topological space
Topological vector space
Topology
Transfinite induction
Transfinite
Transversal (geometry)
Transversality theorem
Tychonoff cube
Union (set theory)
Unit sphere
Weak topology
Weakly compact
ISBN 1-4008-8140-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- TOPOLOGICAL EQUIVALENCE OF NON-SEPARABLE REFLEXIVE BANACH SPACES / Bessaga, C. -- ON TOPOLOGICAL CLASSIFICATION OF NON-SEPARABLE BANACH SPACES / Bessaga, C. / Kadec, M. I. -- ON HOMOTOPY PROPERTIES OF COMPACT SUBSETS OF THE HILBERT SPACE / Borsuk, Karel -- SOME THIN SETS IN FRÉCHET SPACES / Corson, H. H. -- A REMARK ON BANACH ANALYTIC SPACES / Douady, A. -- FIBRING SPACES OF MAPS / Eells, James -- AN APPROXIMATE MORSE-SARD THEOREM / Eells, James / McAlpin, John -- MORSE THEORY FOR CLOSED CURVES / Eliasson, Halldor I. -- COVERING PROPERTIES OF CONVEX SETS AND FIXED POINT THEOREMS IN TOPOLOGICAL VECTOR SPACES / Fan, Ky -- ON THE COHOMOLOGY THEORY IN LINEAR NORMED SPACES / Geba, Kazimierz / Granas, Andrzej -- ANALYSE DE LA TECHNIQUE DE NASH-MOSER / Glaeser, G. -- GENERALIZING THE HOPF-LEFSCHETZ FIXED POINT THEOREM FOR NON-COMPACT ANR-S / Granas, Andrzej -- SOME QUESTIONS IN THE DIMENSION THEORY OF INFINITE DIMENSIONAL SPACES / Henderson, David W. -- ON THE CONTINUITY OF BEST APPROXIMATION OPERATORS / Holmes, R. B. -- SOME SELF-DUAL PROPERTIES OF NORMED LINEAR SPACES / James, Robert C. -- ASYMPTOTIC FIXED POINT THEORY / Jones, G. Stephen -- ON THE RELATIONSHIP OF LOCAL TO GLOBAL FIXED-POINT INDEXES / Knill, Ronald J. -- C1-EQUIVALENCE OF FUNCTIONS NEAR ISOLATED CRITICAL POINTS / Kuiper, Nicolaas H. -- FIXED POINT INDEX AND LEFSCHETZ NUMBER / Leray, Jean -- WEAKLY COMPACT SETS - THEIR TOPOLOGICAL PROPERTIES AND THE BANACH SPACES THEY GENERATE / Lindenstrauss, Joram -- ON CONTINUITY AND APPROXIMATION QUESTIONS CONCERNING CRITICAL MORSE GROUPS IN HILBERT SPACE / Rothe, E. H. -- ON HOMEOMORPHISMS OF CERTAIN INFINITE DIMENSIONAL SPACES / Wong, Raymond Y. T.
Record Nr. UNINA-9910154743103321
Anderson R. D.  
Princeton, NJ : , : Princeton University Press, , [2016]
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Triangulated categories / / by Amnon Neeman
Triangulated categories / / by Amnon Neeman
Autore Neeman Amnon
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 2001
Descrizione fisica 1 online resource (461 p.)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico Categories (Mathematics)
Soggetto non controllato Abelian category
Abelian group
Additive category
Adjoint functors
Adjoint
Adjunction (field theory)
Associative property
Axiom
Basis (linear algebra)
Bijection
Biproduct
Brown's representability theorem
Cardinal number
Cardinality
Category of abelian groups
Chain complex
Class (set theory)
Cohomology
Computation
Coproduct
Corollary
Countable set
Counterexample
Derived category
Derived functor
Diagram (category theory)
Direct limit
Direct sum
Discrete valuation ring
Duality (mathematics)
Embedding
Equivalence class
Equivalence of categories
Exact functor
Exact sequence
Existence theorem
Existential quantification
Factorization
Finitely generated abelian group
Functor category
Functor
Grothendieck category
Grothendieck's Tôhoku paper
Group homomorphism
Homological algebra
Homotopy category of chain complexes
Homotopy category
Homotopy colimit
Homotopy
I0
Injective function
Injective object
Integer
Isomorph
Isomorphism class
Jack Morava
K-theory
Limit (category theory)
Limit of a sequence
Limit ordinal
Linear map
Mapping cone (homological algebra)
Mathematical induction
Maximal ideal
Module (mathematics)
Monomorphism
Moore space
Morphism
N0
Natural transformation
Open set
Partially ordered set
Pierre Deligne
Prime number
Projective object
Proportionality (mathematics)
Quotient category
Regular cardinal
Representable functor
Sheaf (mathematics)
Special case
Spectral sequence
Subcategory
Subobject
Subsequence
Subset
Successor ordinal
Summation
Tautology (logic)
Tensor product
Theorem
Theory
Topological group
Transfinite induction
Transfinite
Triangulated category
Universal property
Vector space
Vladimir Voevodsky
Yoneda lemma
ISBN 0-691-08685-0
1-4008-3721-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 0. Acknowledgements -- 1. Introduction -- Chapter 1. Definition and elementary properties of triangulated categories -- Chapter 2. Triangulated functors and localizations of triangulated categories -- Chapter 3. Perfection of classes -- Chapter 4. Small objects, and Thomason's localisation theorem -- Chapter 5. The category A(S) -- Chapter 6. The category Εx (Sop, Ab) -- Chapter 7. Homological properties of Εx(Sop,Αb) -- Chapter 8. Brown representability -- Chapter 9. Bousfield localisation -- Appendix A. Abelian categories -- Appendix B. Homological functors into [AB5α] categories -- Appendix C. Counterexamples concerning the abelian category A(Τ) -- Appendix D. Where Τ is the homotopy category of spectra -- Appendix E. Examples of non-perfectly-generated categories -- Bibliography -- Index
Record Nr. UNINA-9910791958903321
Neeman Amnon  
Princeton, New Jersey : , : Princeton University Press, , 2001
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Triangulated categories / / by Amnon Neeman
Triangulated categories / / by Amnon Neeman
Autore Neeman Amnon
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 2001
Descrizione fisica 1 online resource (461 p.)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico Categories (Mathematics)
Soggetto non controllato Abelian category
Abelian group
Additive category
Adjoint functors
Adjoint
Adjunction (field theory)
Associative property
Axiom
Basis (linear algebra)
Bijection
Biproduct
Brown's representability theorem
Cardinal number
Cardinality
Category of abelian groups
Chain complex
Class (set theory)
Cohomology
Computation
Coproduct
Corollary
Countable set
Counterexample
Derived category
Derived functor
Diagram (category theory)
Direct limit
Direct sum
Discrete valuation ring
Duality (mathematics)
Embedding
Equivalence class
Equivalence of categories
Exact functor
Exact sequence
Existence theorem
Existential quantification
Factorization
Finitely generated abelian group
Functor category
Functor
Grothendieck category
Grothendieck's Tôhoku paper
Group homomorphism
Homological algebra
Homotopy category of chain complexes
Homotopy category
Homotopy colimit
Homotopy
I0
Injective function
Injective object
Integer
Isomorph
Isomorphism class
Jack Morava
K-theory
Limit (category theory)
Limit of a sequence
Limit ordinal
Linear map
Mapping cone (homological algebra)
Mathematical induction
Maximal ideal
Module (mathematics)
Monomorphism
Moore space
Morphism
N0
Natural transformation
Open set
Partially ordered set
Pierre Deligne
Prime number
Projective object
Proportionality (mathematics)
Quotient category
Regular cardinal
Representable functor
Sheaf (mathematics)
Special case
Spectral sequence
Subcategory
Subobject
Subsequence
Subset
Successor ordinal
Summation
Tautology (logic)
Tensor product
Theorem
Theory
Topological group
Transfinite induction
Transfinite
Triangulated category
Universal property
Vector space
Vladimir Voevodsky
Yoneda lemma
ISBN 0-691-08685-0
1-4008-3721-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 0. Acknowledgements -- 1. Introduction -- Chapter 1. Definition and elementary properties of triangulated categories -- Chapter 2. Triangulated functors and localizations of triangulated categories -- Chapter 3. Perfection of classes -- Chapter 4. Small objects, and Thomason's localisation theorem -- Chapter 5. The category A(S) -- Chapter 6. The category Εx (Sop, Ab) -- Chapter 7. Homological properties of Εx(Sop,Αb) -- Chapter 8. Brown representability -- Chapter 9. Bousfield localisation -- Appendix A. Abelian categories -- Appendix B. Homological functors into [AB5α] categories -- Appendix C. Counterexamples concerning the abelian category A(Τ) -- Appendix D. Where Τ is the homotopy category of spectra -- Appendix E. Examples of non-perfectly-generated categories -- Bibliography -- Index
Record Nr. UNINA-9910821730503321
Neeman Amnon  
Princeton, New Jersey : , : Princeton University Press, , 2001
Materiale a stampa
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