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Transformation groups /
"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
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; New York :
W. de Gruyter,
1987.
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| Colección: | De Gruyter studies in mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.