Autore	Madsen Ib
Pubbl/distr/stampa	Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica	1 online resource (296 pages) : illustrations
Disciplina	514/.223
Collana	Annals of Mathematics Studies
Soggetto topico	Manifolds (Mathematics) Classifying spaces Surgery (Topology) Cobordism theory
Soggetto non controllato	Bijection Calculation Characteristic class Classification theorem Classifying space Closed manifold Cobordism Coefficient Cohomology Commutative diagram Commutative property Complex projective space Connected sum Corollary Cup product Diagram (category theory) Differentiable manifold Disjoint union Disk (mathematics) Effective method Eilenberg–Moore spectral sequence Elaboration Equivalence class Exact sequence Exterior algebra Fiber bundle Fibration Function composition H-space Homeomorphism Homomorphism Homotopy fiber Homotopy group Homotopy Hopf algebra Iterative method Loop space Manifold Massey product N-sphere Normal bundle Obstruction theory Pairing Permutation Piecewise linear manifold Piecewise linear Polynomial Prime number Projective space Sequence Simply connected space Special case Spin structure Steenrod algebra Subset Summation Tensor product Theorem Topological group Topological manifold Topology Total order
ISBN	1-4008-8147-1
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER 1. CLASSIFYING SPACES AND COBORDISM -- CHAPTER 2. THE SURGERY CLASSIFICATION OF MANIFOLDS -- CHAPTER 3. THE SPACES SG AND BSG -- CHAPTER 4. THE HOMOTOPY STRUCTURE OF G/PL AND G/TOP -- CHAPTER 5. THE HOMOTOPY STRUCTURE OF MSPL[½] AND MSTOP[½] -- CHAPTER 6 . INFINITE LOOP SPACES AND THEIR HOMOLOGY OPERATIONS -- CHAPTER 7. THE 2-LOCAL STRUCTURE OF B(G/TOP) -- CHAPTER 8 . THE TORSION FREE STRUCTURE OF THE ORIENTED COBORDISM RINGS -- CHAPTER 9. THE TORSION FREE COHOMOLOGY OF G/TOP AND G/PL -- CHAPTER 10. THE TORSION FREE COHOMOLOGY OF BTOP AND BPL -- CHAPTER 11. INTEGRALITY THEOREMS -- CHAPTER 12. THE SMOOTH SURGERY CLASSES AND H*(BTOP; ℤ/2) -- CHAPTER 13. THE BOCKSTEIN SPECTRAL SEQUENCE FOR BTOP -- CHAPTER 14. THE TYPES OF TORSION GENERATORS -- APPENDIX. THE PROOFS OF 13.12, 13.13, AND 13.15 -- BIBLIOGRAPHY -- INDEX -- Backmatter
Record Nr.	UNINA-9910154749003321

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

Autore	Lescop Christine <1966->
Pubbl/distr/stampa	Princeton, New Jersey : , : Princeton University Press, , 1996
Descrizione fisica	1 online resource (156 p.)
Disciplina	514/.72
Collana	Annals of Mathematics Studies
Soggetto topico	Surgery (Topology) Three-manifolds (Topology)
Soggetto non controllato	3-manifold Addition Alexander polynomial Ambient isotopy Betti number Casson invariant Change of basis Change of variables Cobordism Coefficient Combination Combinatorics Computation Conjugacy class Connected component (graph theory) Connected space Connected sum Cup product Determinant Diagram (category theory) Disk (mathematics) Empty set Exterior (topology) Fiber bundle Fibration Function (mathematics) Fundamental group Homeomorphism Homology (mathematics) Homology sphere Homotopy sphere Indeterminate (variable) Integer Klein bottle Knot theory Manifold Morphism Notation Orientability Permutation Polynomial Prime number Projective plane Scientific notation Seifert surface Sequence Summation Symmetrization Taylor series Theorem Topology Tubular neighborhood Unlink
ISBN	0-691-02133-3 1-4008-6515-8
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Front matter -- Table of contents -- Chapter 1. Introduction and statements of the results -- Chapter 2. The Alexander series of a link in a rational homology sphere and some of its properties -- Chapter 3. Invariance of the surgery formula under a twist homeomorphism -- Chapter 4. The formula for surgeries starting from rational homology spheres -- Chapter 5. The invariant A. for 3-manifolds with nonzero rank -- Chapter 6. Applications and variants of the surgery formula -- Appendix. More about the Alexander series -- Bibliography -- Index
Record Nr.	UNINA-9910786748103321

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

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