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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.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| 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 |
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Bak Anthony
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| 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 |
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Shatz Stephen S.
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| 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 |
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Borel Armand
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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