| Description |
1 online resource (x, 311 pages). |
|
data file |
| Physical Medium |
polychrome |
| Series |
De Gruyter studies in mathematics ; 8
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De Gruyter studies in mathematics ; 8.
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| Bibliography |
Includes bibliographical references and index. |
| Contents |
10. The Burnside ring and localizationBibliography; Further reading; Subject index and symbols; More symbols. |
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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. |
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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. |
| Summary |
"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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Topological transformation groups.
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Topological transformation groups. |
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Lie groups.
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Lie groups. |
| Genre/Form |
Electronic books.
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| Other Form: |
Print version: Dieck, Tammo tom. Transformation groups. Berlin ; New York : W. de Gruyter, 1987 (DLC) 87005450 |
| ISBN |
9783110858372 (electronic book) |
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3110858371 (electronic book) |
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0899250297 (U.S.) |
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9783110097450 |
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3110097451 |
| Standard No. |
10.1515/9783110858372 |
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