Algebraic Topology and Algebraic K-Theory (AM-113), Volume 113 : Proceedings of a Symposium in Honor of John C. Moore. (AM-113) / / William Browder |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (577 pages) : illustrations |
Disciplina | 514/.2 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Algebraic topology
K-theory |
Soggetto non controllato |
Abelian group
Adams spectral sequence Adjoint functors Adjunction (field theory) Algebraic K-theory Algebraic closure Algebraic geometry Algebraic group Algebraic number field Algebraic space Algebraic topology Algebraically closed field Associative algebra Boundary (topology) CW complex Classification theorem Closure (mathematics) Coalgebra Cofibration Cohomology Commutative diagram Commutative property Coproduct Deformation theory Degenerate bilinear form Diagram (category theory) Differentiable manifold Dimension (vector space) Division algebra Eilenberg–Moore spectral sequence Epimorphism Exterior (topology) Formal power series Free Lie algebra Free algebra Freudenthal suspension theorem Function (mathematics) Function space Functor G-module Galois extension Global dimension Group cohomology Group homomorphism H-space Hilbert's Theorem 90 Homology (mathematics) Homomorphism Homotopy category Homotopy group Homotopy Hopf algebra Hopf invariant Hurewicz theorem Inclusion map Inequality (mathematics) Integral domain Isometry Isomorphism class K-theory Lie algebra Lie group Limit (category theory) Loop space Mathematician Mathematics Noetherian ring Order topology P-adic number Polynomial ring Polynomial Prime number Principal bundle Principal ideal domain Projective module Projective plane Pullback (category theory) Pushout (category theory) Ring of integers Series (mathematics) Sheaf (mathematics) Simplicial category Simplicial complex Simplicial set Special case Spectral sequence Square (algebra) Stable homotopy theory Steenrod algebra Superalgebra Theorem Topological K-theory Topological space Topology Triviality (mathematics) Uniqueness theorem Universal enveloping algebra Vector bundle Weak equivalence (homotopy theory) William Browder (mathematician) |
ISBN | 1-4008-8211-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- I. Exponents in Homotopy Theory / Cohen, F. R. / Moore, J. C. / Neisendorfer, J. A. -- II. The Exponent of a Moore Space / Neisendorfer, Joseph A. -- III. The Space of Maps of Moore Spaces Into Spheres / Campbell, H. E. A. / Cohen, F. R. / Peterson, F. P. / Selick, P. S. -- IV. The Adams Spectral Sequence of Ω2S3 and Brown Gitlet Spectra / Brown, Edgar H. / Cohen, Ralph L. -- V. Homotopy Groups of Some Mapping Telescopes / Davis, Donald M. / Mahowald, Mark -- VI. Mapping Telescopes and K*-Localization / Davis, Donald M. / Mahowald, Mark / Miller, Haynes -- VII. The Geometric Realization of The Chromatic Resolution / Ravenel, Douglas C. -- VIII. Equivalences Between Homotopy Theories of Diagrams / Dwyer, W. G. / Kan, D. M. -- IX. The Role of The Steenrod Algebra in The Mod 2 Cohomology of a Finite H-Space / Lin, James P. -- X. Maps Between Classifying Spaces / Zabrodsky, A. -- XI. Generic Algebras and CW Complexes / Anick, David J. -- XII. Deformation Theory and The Little Constructions of Cartan and Moore / Stasheff, Jim -- XIII. Free (ℤ/2)3 - Actions on Finite Complexes / Carlsson, Gunnar -- XIV. Equivariant Constructions of Nonequivariant Spectra / May, J. P. -- XV. A Decomposition of The Space of Generalized Morse Functions / Cohen, Ralph L. -- XVI. Algebriac K-Theory of Spaces, Concordance, and Stable Homotopy Theory / Waldhausen, Friedhelm -- XVII. The Map BSG → A(*) → QS° / Bokstedt, Marcel / Waldhausen, Friedhelm -- XVIII. Vector Bundles, Projective Modules and The K-Theory of Spheres / Swan, Richard G. -- XIX. Limits Of Infinitesimal Group Cohomology / Friedlander, Eric M. / Parshall, Brian J. -- XX. Algebraic K-Theory of Group Scheme Actions / Thomason, R. W. -- Backmatter |
Record Nr. | UNINA-9910154749203321 |
Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen |
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 |
Madsen Ib
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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