UID:
almahu_9947360002202882
Format:
Online-Ressource (x, 311 p)
Edition:
Online-Ausg. Palo Alto, Calif ebrary 2011 Electronic reproduction; Available via World Wide Web
ISBN:
0899250297 (U.S.)
,
9783110097450
,
9783110858372
Series Statement:
De Gruyter studies in mathematics 8
Content:
"This book is a jewel- it explains important, useful and deep topics in Algebraic Topology that you won't find elsewhere, carefully and in detail." Prof. Günter M. Ziegler, TU Berlin
Content:
Main description: 0This book is a jewel– it explains important, useful and deep topics in Algebraic Topology that you won’t find elsewhere, carefully and in detail.0 Prof. Günter M. Ziegler, TU Berlin
Content:
Main description: 0This book is a jewel– it explains important, useful and deep topics in Algebraic Topology that you won’t find elsewhere, carefully and in detail.0 Prof. Günter M. Ziegler, TU Berlin
Note:
Includes bibliographical references and index
,
10. The Burnside ring and localizationBibliography; Further reading; Subject index and symbols; More symbols.
,
7. Homology with families8. The Burnside ring and stable homotopy; 9. Bredon homology and Mackey functors; 10. Homotopy representations; Chapter III Localization; 1. Equivariant bundle cohomology; 2. Cohomology of some classifying spaces; 3. Localization; 4. Applications of localization; 5. Borel-Smith functions; 6. Further results for cyclic groups. Applications; Chapter IV The Burnside Ring; 1. Additive invariants; 2. The Burnside ring; 3. The space of subgroups; 4. Prime ideals; 5. Congruences; 6. Finiteness theorems; 7. Idempotent elements; 8. Induction categories; 9. Induction theory.
,
Chapter I Foundations; 1. Basic notions; 2. General remarks. Examples; 3. Elementary properties; 4. Functorial properties; 5. Differentiable manifolds. Tubes and slices; 6. Families of subgroups; 7. Equivariant maps; 8. Bundles; 9. Vector bundles; 10. Orbit categories, fundamental groups, and coverings; 11. Elementary algebra of transformation groups; Chapter II Algebraic Topology; 1. Equivariant CW-complexes; 2. Maps between complexes; 3. Obstruction theory; 4. The classification theorem of Hopf; 5. Maps between complex representation spheres; 6. Stable homotopy. Homology. Cohomology.
Language:
English
DOI:
10.1515/9783110858372
URL:
http://www.degruyter.com/doi/book/10.1515/9783110858372
