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A First Course in Category Theory / Ana Agore
A First Course in Category Theory / Ana Agore
Autore Agore, Ana
Pubbl/distr/stampa Cham, : Springer, 2023
Descrizione fisica xiv, 284 p. : ill. ; 24 cm
Soggetto non controllato Adjoint functors
Category Theory
Colimit
Equivalence of categories
Freyd's adjoint functor theorem
Functor
Limit
Representable functor
Special adjoint functor theorem
Yoneda's lemma
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0278685
Agore, Ana  
Cham, : Springer, 2023
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
A First Course in Category Theory / Ana Agore
A First Course in Category Theory / Ana Agore
Autore Agore, Ana
Pubbl/distr/stampa Cham, : Springer, 2023
Descrizione fisica xiv, 284 p. : ill. ; 24 cm
Soggetto topico 18-XX - Category theory; homological algebra [MSC 2020]
Soggetto non controllato Adjoint functors
Category Theory
Colimit
Equivalence of categories
Freyd's adjoint functor theorem
Functor
Limit
Representable functor
Special adjoint functor theorem
Yoneda's lemma
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN00278685
Agore, Ana  
Cham, : Springer, 2023
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris
The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris
Autore Harris Michael
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2001]
Descrizione fisica 1 online resource (288 p.)
Disciplina 516.3/5
Collana Annals of Mathematics Studies
Soggetto topico Mathematics
Shimura varieties
MATHEMATICS / Number Theory
Soggetto non controllato Abelian variety
Absolute value
Algebraic group
Algebraically closed field
Artinian
Automorphic form
Base change
Bijection
Canonical map
Codimension
Coefficient
Cohomology
Compactification (mathematics)
Conjecture
Corollary
Dimension (vector space)
Dimension
Direct limit
Division algebra
Eigenvalues and eigenvectors
Elliptic curve
Embedding
Equivalence class
Equivalence of categories
Existence theorem
Field of fractions
Finite field
Function field
Functor
Galois cohomology
Galois group
Generic point
Geometry
Hasse invariant
Infinitesimal character
Integer
Inverse system
Isomorphism class
Lie algebra
Local class field theory
Maximal torus
Modular curve
Moduli space
Monic polynomial
P-adic number
Prime number
Profinite group
Residue field
Ring of integers
Separable extension
Sheaf (mathematics)
Shimura variety
Simple group
Special case
Spectral sequence
Square root
Subset
Tate module
Theorem
Transcendence degree
Unitary group
Valuative criterion
Variable (mathematics)
Vector space
Weil group
Weil pairing
Zariski topology
ISBN 1-4008-3720-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Acknowledgements -- Chapter I. Preliminaries -- Chapter II. Barsotti-Tate groups -- Chapter III. Some simple Shimura varieties -- Chapter IV. Igusa varieties -- Chapter V. Counting Points -- Chapter VI. Automorphic forms -- Chapter VII. Applications -- Appendix. A result on vanishing cycles / Berkovich, V. G. -- Bibliography -- Index
Record Nr. UNINA-9910791960703321
Harris Michael  
Princeton, NJ : , : Princeton University Press, , [2001]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris
The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris
Autore Harris Michael
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2001]
Descrizione fisica 1 online resource (288 p.)
Disciplina 516.3/5
Collana Annals of Mathematics Studies
Soggetto topico Mathematics
Shimura varieties
MATHEMATICS / Number Theory
Soggetto non controllato Abelian variety
Absolute value
Algebraic group
Algebraically closed field
Artinian
Automorphic form
Base change
Bijection
Canonical map
Codimension
Coefficient
Cohomology
Compactification (mathematics)
Conjecture
Corollary
Dimension (vector space)
Dimension
Direct limit
Division algebra
Eigenvalues and eigenvectors
Elliptic curve
Embedding
Equivalence class
Equivalence of categories
Existence theorem
Field of fractions
Finite field
Function field
Functor
Galois cohomology
Galois group
Generic point
Geometry
Hasse invariant
Infinitesimal character
Integer
Inverse system
Isomorphism class
Lie algebra
Local class field theory
Maximal torus
Modular curve
Moduli space
Monic polynomial
P-adic number
Prime number
Profinite group
Residue field
Ring of integers
Separable extension
Sheaf (mathematics)
Shimura variety
Simple group
Special case
Spectral sequence
Square root
Subset
Tate module
Theorem
Transcendence degree
Unitary group
Valuative criterion
Variable (mathematics)
Vector space
Weil group
Weil pairing
Zariski topology
ISBN 1-4008-3720-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Acknowledgements -- Chapter I. Preliminaries -- Chapter II. Barsotti-Tate groups -- Chapter III. Some simple Shimura varieties -- Chapter IV. Igusa varieties -- Chapter V. Counting Points -- Chapter VI. Automorphic forms -- Chapter VII. Applications -- Appendix. A result on vanishing cycles / Berkovich, V. G. -- Bibliography -- Index
Record Nr. UNINA-9910814893103321
Harris Michael  
Princeton, NJ : , : Princeton University Press, , [2001]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
Rigid Local Systems. (AM-139), Volume 139 / / Nicholas M. Katz
Rigid Local Systems. (AM-139), Volume 139 / / Nicholas M. Katz
Autore Katz Nicholas M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (233 pages)
Disciplina 515/.35
Collana Annals of Mathematics Studies
Soggetto topico Differential equations - Numerical solutions
Hypergeometric functions
Sheaf theory
Soggetto non controllato Additive group
Alexander Grothendieck
Algebraic closure
Algebraic differential equation
Algebraically closed field
Algorithm
Analytic continuation
Automorphism
Axiom of choice
Bernhard Riemann
Big O notation
Calculation
Carlos Simpson
Coefficient
Cohomology
Commutator
Compactification (mathematics)
Comparison theorem
Complex analytic space
Complex conjugate
Complex manifold
Conjecture
Conjugacy class
Convolution
Corollary
Cube root
Cusp form
De Rham cohomology
Differential equation
Dimension
Dimensional analysis
Discrete valuation ring
Disjoint union
Divisor
Duality (mathematics)
Eigenfunction
Eigenvalues and eigenvectors
Elliptic curve
Equation
Equivalence of categories
Exact sequence
Existential quantification
Finite field
Finite set
Fourier transform
Functor
Fundamental group
Generic point
Ground field
Hodge structure
Hypergeometric function
Integer
Invertible matrix
Isomorphism class
Jordan normal form
Level of measurement
Linear differential equation
Local system
Mathematical induction
Mathematics
Matrix (mathematics)
Monodromy
Monomial
Morphism
Natural filtration
Parameter
Parity (mathematics)
Perfect field
Perverse sheaf
Polynomial
Prime number
Projective representation
Projective space
Pullback (category theory)
Pullback
Rational function
Regular singular point
Relative dimension
Residue field
Ring of integers
Root of unity
Sequence
Sesquilinear form
Set (mathematics)
Sheaf (mathematics)
Six operations
Special case
Subgroup
Subobject
Subring
Suggestion
Summation
Tensor product
Theorem
Theory
Topology
Triangular matrix
Trivial representation
Vector space
Zariski topology
ISBN 1-4008-8259-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- CHAPTER 1. First results on rigid local systems -- CHAPTER 2. The theory of middle convolution -- CHAPTER 3. Fourier Transform and rigidity -- CHAPTER 4. Middle convolution: dependence on parameters -- CHAPTER 5. Structure of rigid local systems -- CHAPTER 6. Existence algorithms for rigids -- CHAPTER 7. Diophantine aspects of rigidity -- CHAPTER 8. Motivic description of rigids -- CHAPTER 9. Grothendieck's p-curvature conjecture for rigids -- References
Record Nr. UNINA-9910154746203321
Katz Nicholas M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui