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C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas
C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas
Autore Douglas Ronald G.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (94 pages) : illustrations
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico C*-algebras
K-theory
Algebra, Homological
Soggetto non controllato Addition
Affine transformation
Algebraic topology
Atiyah–Singer index theorem
Automorphism
Banach algebra
Bijection
Boundary value problem
Bundle map
C*-algebra
Calculation
Cardinal number
Category of abelian groups
Characteristic class
Chern class
Clifford algebra
Coefficient
Cohomology
Compact operator
Completely positive map
Contact geometry
Continuous function
Corollary
Diagram (category theory)
Diffeomorphism
Differentiable manifold
Differential operator
Dimension (vector space)
Dimension function
Dimension
Direct integral
Direct proof
Eigenvalues and eigenvectors
Equivalence class
Equivalence relation
Essential spectrum
Euler class
Exact sequence
Existential quantification
Fiber bundle
Finite group
Fredholm operator
Fredholm
Free abelian group
Fundamental class
Fundamental group
Hardy space
Hermann Weyl
Hilbert space
Homological algebra
Homology (mathematics)
Homomorphism
Homotopy
Ideal (ring theory)
Inner automorphism
Irreducible representation
K-group
K-theory
Lebesgue space
Locally compact group
Maximal compact subgroup
Michael Atiyah
Monomorphism
Morphism
Natural number
Natural transformation
Normal operator
Operator algebra
Operator norm
Operator theory
Orthogonal group
Pairing
Piecewise linear manifold
Polynomial
Pontryagin class
Positive and negative parts
Positive map
Pseudo-differential operator
Quaternion
Quotient algebra
Self-adjoint operator
Self-adjoint
Simply connected space
Smooth structure
Special case
Stein manifold
Strong topology
Subalgebra
Subgroup
Subset
Summation
Tangent bundle
Theorem
Todd class
Topology
Torsion subgroup
Unitary operator
Universal coefficient theorem
Variable (mathematics)
Von Neumann algebra
ISBN 1-4008-8146-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter 1. An Overview -- Chapter 2. Ext as a Group -- Chapter 3. Ext as a Homotopy Functor -- Chapter 4. Generalized Homology Theory and Periodicity -- Chapter 5. Ext as K-Homology -- Chapter 6. Index Theorems snd Novikov's Higher Signatures -- References -- Index -- Index of Symbols -- Backmatter
Record Nr. UNINA-9910154752903321
Douglas Ronald G.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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Cohomology Operations (AM-50), Volume 50 : Lectures by N.E. Steenrod. (AM-50) / / David B.A. Epstein
Cohomology Operations (AM-50), Volume 50 : Lectures by N.E. Steenrod. (AM-50) / / David B.A. Epstein
Autore Epstein David B.A.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (156 pages) : illustrations
Disciplina 513.83
Collana Annals of Mathematics Studies
Soggetto topico Homology theory
Soggetto non controllato Algebra homomorphism
Algebra over a field
Algebraic structure
Approximation
Axiom
Basis (linear algebra)
CW complex
Cartesian product
Classical group
Coefficient
Cohomology operation
Cohomology ring
Cohomology
Commutative property
Complex number
Computation
Continuous function
Cup product
Cyclic group
Diagram (category theory)
Dimension
Direct limit
Embedding
Existence theorem
Fibration
Homomorphism
Hopf algebra
Hopf invariant
Ideal (ring theory)
Integer
Inverse limit
Manifold
Mathematics
Monomial
N-skeleton
Natural transformation
Permutation
Quaternion
Ring (mathematics)
Scalar (physics)
Special unitary group
Steenrod algebra
Stiefel manifold
Subgroup
Subset
Summation
Symmetric group
Symplectic group
Theorem
Uniqueness theorem
Upper and lower bounds
Vector field
Vector space
W0
ISBN 1-4008-8167-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- CHAPTER I. Axiomatic Development of the Steenrod Algebra -- CHAPTER II. The Dual of the Algebra -- CHARTER III. Embeddings of Spaces in Spheres -- CHAPTER IV. The Cohomology of Classical Groups and Stiefel Manifolds. -- CHAPTER V. Equivariant Cohomology -- CHAPTER VI. Axiomatic Development of the Algebra -- CHAPTER VII. Construction of the Reduced Powers -- CHAPTER VIII. Relations of Adem and the Uniqueness Theorem -- APPENDIX: Algebraic Derivations of Certain Properties of the Steenrod Algebra -- Index -- Errata for the Annals Study No. 50
Record Nr. UNINA-9910154754903321
Epstein David B.A.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Introduction to Algebraic K-Theory. (AM-72), Volume 72 / / John Milnor
Introduction to Algebraic K-Theory. (AM-72), Volume 72 / / John Milnor
Autore Milnor John
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (200 pages)
Disciplina 512/.4
Collana Annals of Mathematics Studies
Soggetto topico Associative rings
Abelian groups
Functor theory
Soggetto non controllato Abelian group
Absolute value
Addition
Algebraic K-theory
Algebraic equation
Algebraic integer
Banach algebra
Basis (linear algebra)
Big O notation
Circle group
Coefficient
Commutative property
Commutative ring
Commutator
Complex number
Computation
Congruence subgroup
Coprime integers
Cyclic group
Dedekind domain
Direct limit
Direct proof
Direct sum
Discrete valuation
Division algebra
Division ring
Elementary matrix
Elliptic function
Exact sequence
Existential quantification
Exterior algebra
Factorization
Finite group
Free abelian group
Function (mathematics)
Fundamental group
Galois extension
Galois group
General linear group
Group extension
Hausdorff space
Homological algebra
Homomorphism
Homotopy
Ideal (ring theory)
Ideal class group
Identity element
Identity matrix
Integral domain
Invertible matrix
Isomorphism class
K-theory
Kummer theory
Lattice (group)
Left inverse
Local field
Local ring
Mathematics
Matsumoto's theorem
Maximal ideal
Meromorphic function
Monomial
Natural number
Noetherian
Normal subgroup
Number theory
Open set
Picard group
Polynomial
Prime element
Prime ideal
Projective module
Quadratic form
Quaternion
Quotient ring
Rational number
Real number
Right inverse
Ring of integers
Root of unity
Schur multiplier
Scientific notation
Simple algebra
Special case
Special linear group
Subgroup
Summation
Surjective function
Tensor product
Theorem
Topological K-theory
Topological group
Topological space
Topology
Torsion group
Variable (mathematics)
Vector space
Wedderburn's theorem
Weierstrass function
Whitehead torsion
ISBN 1-4008-8179-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface and Guide to the Literature -- Contents -- §1. Projective Modules and K0Λ -- §2 . Constructing Projective Modules -- §3. The Whitehead Group K1Λ -- §4. The Exact Sequence Associated with an Ideal -- §5. Steinberg Groups and the Functor K2 -- §6. Extending the Exact Sequences -- §7. The Case of a Commutative Banach Algebra -- §8. The Product K1Λ ⊗ K1Λ K2Λ -- §9. Computations in the Steinberg Group -- §10. Computation of K2Z -- §11. Matsumoto's Computation of K2 of a Field -- 12. Proof of Matsumoto's Theorem -- §13. More about Dedekind Domains -- §14. The Transfer Homomorphism -- §15. Power Norm Residue Symbols -- §16. Number Fields -- Appendix. Continuous Steinberg Symbols -- Index
Record Nr. UNINA-9910154752203321
Milnor John  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Introduction to Ramsey spaces [[electronic resource] /] / Stevo Todorcevic
Introduction to Ramsey spaces [[electronic resource] /] / Stevo Todorcevic
Autore Todorcevic Stevo
Edizione [Course Book]
Pubbl/distr/stampa Princeton, : Princeton University Press, 2010
Descrizione fisica 1 online resource (296 p.)
Disciplina 511/.5
Collana Annals of mathematics studies
Soggetto topico Ramsey theory
Algebraic spaces
Soggetto non controllato Analytic set
Axiom of choice
Baire category theorem
Baire space
Banach space
Bijection
Binary relation
Boolean prime ideal theorem
Borel equivalence relation
Borel measure
Borel set
C0
Cantor cube
Cantor set
Cantor space
Cardinality
Characteristic function (probability theory)
Characterization (mathematics)
Combinatorics
Compact space
Compactification (mathematics)
Complete metric space
Completely metrizable space
Constructible universe
Continuous function (set theory)
Continuous function
Corollary
Countable set
Counterexample
Decision problem
Dense set
Diagonalization
Dimension (vector space)
Dimension
Discrete space
Disjoint sets
Dual space
Embedding
Equation
Equivalence relation
Existential quantification
Family of sets
Forcing (mathematics)
Forcing (recursion theory)
Gap theorem
Geometry
Ideal (ring theory)
Infinite product
Lebesgue measure
Limit point
Lipschitz continuity
Mathematical induction
Mathematical problem
Mathematics
Metric space
Metrization theorem
Monotonic function
Natural number
Natural topology
Neighbourhood (mathematics)
Null set
Open set
Order type
Partial function
Partially ordered set
Peano axioms
Point at infinity
Pointwise
Polish space
Probability measure
Product measure
Product topology
Property of Baire
Ramsey theory
Ramsey's theorem
Right inverse
Scalar multiplication
Schauder basis
Semigroup
Sequence
Sequential space
Set (mathematics)
Set theory
Sperner family
Subsequence
Subset
Subspace topology
Support function
Symmetric difference
Theorem
Topological dynamics
Topological group
Topological space
Topology
Tree (data structure)
Unit interval
Unit sphere
Variable (mathematics)
Well-order
Zorn's lemma
ISBN 1-4008-3540-2
9786612645068
1-282-64506-4
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Chapter 1. Ramsey Theory: Preliminaries -- Chapter 2. Semigroup Colorings -- Chapter 3. Trees and Products -- Chapter 4. Abstract Ramsey Theory -- Chapter 5. Topological Ramsey Theory -- Chapter 6. Spaces of Trees -- Chapter 7. Local Ramsey Theory -- Chapter 8. Infinite Products of Finite Sets -- Chapter 9. Parametrized Ramsey Theory -- Appendix -- Bibliography -- Subject Index -- Index of Notation
Record Nr. UNINA-9910791065103321
Todorcevic Stevo  
Princeton, : Princeton University Press, 2010
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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Seminar on Transformation Groups. (AM-46), Volume 46 / / Armand Borel
Seminar on Transformation Groups. (AM-46), Volume 46 / / Armand Borel
Autore Borel Armand
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (261 pages) : illustrations
Disciplina 512.86
Collana Annals of Mathematics Studies
Soggetto topico Algebraic topology
Transformation groups
Soggetto non controllato Abelian group
Addition
Algebraic topology
Analytic function
Armand Borel
Big O notation
Bijection
Chain complex
Circle group
Codimension
Coefficient
Cohomology ring
Cohomology
Commutative diagram
Complex number
Conjugacy class
Connected component (graph theory)
Connected space
Continuous function
Corollary
Counterexample
Cup product
Cyclic group
Diffeomorphism
Differentiable function
Dimension (vector space)
Dimension function
Dimension
Direct product
Direct sum
Embedding
Equivariant map
Euclidean space
Exact sequence
Exponential function
Fiber bundle
Field of fractions
Finite group
Finitely generated module
Functor
Group action
H-space
Hausdorff space
Homeomorphism
Homogeneous space
Homological algebra
Homology (mathematics)
Homology sphere
Homomorphism
Ideal (ring theory)
Identity component
Inner automorphism
Invariant subspace
Lie algebra
Lie group
Linear combination
Linearity
Locally compact space
Manifold
Mathematical induction
Maximal torus
Metatheorem
Metric space
Module (mathematics)
Monotonic function
N-sphere
Neighbourhood (mathematics)
Open set
Orientability
P-group
Paracompact space
Partially ordered set
Polynomial
Presheaf (category theory)
Prime ideal
Projective space
Quotient space (topology)
Real variable
Riemannian manifold
Scientific notation
Sheaf (mathematics)
Simply connected space
Solvable group
Special case
Spectral sequence
Subgroup
Subset
Support (mathematics)
Sylow theorems
Tangent vector
Theorem
Topological group
Topological space
Torsion subgroup
Transpose
Unique factorization domain
Universal bundle
Universal coefficient theorem
Vector space
Weyl group
ISBN 1-4008-8267-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OP CONTENTS -- INTRODUCTION -- CHAPTER I: COHOMOLOGY MANIFOLDS / Borel, A. -- CHAPTER II: HOMOLOGY AND DUALITY IN GENERALIZED MANIFOLDS / Borel, A. -- CHAPTER III: PERIODIC MAPS VIA SMITH THEORY / Floyd, E. E. -- CHAPTER IV: THE ACTION OF Zp OR T1 : GLOBAL THEOREMS / Borel, A. -- CHAPTER V: THE ACTION OF Zp T1 : LOCAL THEOREMS / Borel, A. -- CHAPTER VI: ISOTROPY SUBGROUPS OP TORAL GROUPS / Floyd, E. E. -- CHAPTER VII: FINITENESS OP NUMBER OF ORBIT TYPES / Bredon, G. E. -- CHAPTER VIII: SLICES AND EQUIVARIANT IMBEDDINGS / Palais, R. S. -- CHAPTER IX: ORBITS OF HIGHEST DIMENSION / Montgomery, Deane -- CHAPTER X: THE SPECTRAL SEQUENCE OF A BIFILTERED MODULE, / Borel, A. -- CHAPTER XI: THE SPECTRAL SEQUENCE OF FARY / Borel, A. -- CHAPTER XII: FIXED POINT THEOREMS FOR ELEMENTARY COMMUTATIVE GROUPS I / Borel, A. -- CHAPTER XIII: FIXED POINT THEOREMS FOR ELEMENTARY COMMUTATIVE GROUPS II / Borel, A. -- CHAPTER XIV: ONE OR W O CLASSES OF ORBITS / Borel, A. -- CHAPTER XV: FIXED POINT SETS AND ORBITS OF COMPLEMENTARY DIMENSION / Bredon, G. E. -- CHAPTER XVI: REMARKS ON THE SPECTRAL SEQUENCE OF A MAP / Borel, A. -- Backmatter
Record Nr. UNINA-9910154746603321
Borel Armand  
Princeton, NJ : , : Princeton University Press, , [2016]
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Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 / / Elias M. Stein
Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 / / Elias M. Stein
Autore Stein Elias M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (160 pages)
Disciplina 515.2433
Collana Annals of Mathematics Studies
Soggetto topico Harmonic analysis
Littlewood-Paley theory
Lie groups
Semigroups
Soggetto non controllato Addition
Analytic function
Axiom
Boundary value problem
Central limit theorem
Change of variables
Circle group
Classification theorem
Commutative property
Compact group
Complex analysis
Convex set
Coset
Covering space
Derivative
Differentiable manifold
Differential geometry
Differential operator
Dimension (vector space)
Dimension
Direct sum
E6 (mathematics)
E7 (mathematics)
E8 (mathematics)
Elementary proof
Equation
Equivalence class
Existence theorem
Existential quantification
Fourier analysis
Fourier series
Fourier transform
Function space
General linear group
Haar measure
Harmonic analysis
Harmonic function
Hermite polynomials
Hilbert transform
Homogeneous space
Homomorphism
Ideal (ring theory)
Identity matrix
Indecomposability
Integral transform
Invariant measure
Invariant subspace
Irreducibility (mathematics)
Irreducible representation
Lebesgue measure
Legendre polynomials
Lie algebra
Lie group
Linear combination
Linear map
Local diffeomorphism
Markov process
Martingale (probability theory)
Matrix group
Measurable function
Measure (mathematics)
Multiple integral
Normal subgroup
One-dimensional space
Open set
Ordinary differential equation
Orthogonality
Orthonormality
Parseval's theorem
Partial differential equation
Probability space
Quadratic form
Rank of a group
Regular representation
Riemannian manifold
Riesz transform
Schur orthogonality relations
Scientific notation
Semigroup
Sequence
Special case
Stone–Weierstrass theorem
Sturm–Liouville theory
Subgroup
Subset
Summation
Tensor algebra
Tensor product
Theorem
Theory
Topological group
Topological space
Torus
Trigonometric polynomial
Trivial representation
Uniform convergence
Unitary operator
Unitary representation
Vector field
Vector space
ISBN 1-4008-8187-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- Introduction -- Chapter I: Lie Groups (A Review) -- Chapter II: Littlewood-Paley Theory for a Compact Lie Group -- Chapter III: General Symmetric Diffusion Semi-Groups -- Chapter IV: The General Littlewood-Paley Theory -- Chapter V: Further Illustrations -- References -- Appendix (1985)
Record Nr. UNINA-9910154742803321
Stein Elias M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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