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Transformation Groups
About this book
"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
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Yes, you can access Transformation Groups by Tammo tom Dieck in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- 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
- 7. Homology with families
- 8. 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
- 10. The Burnside ring and localization
- Bibliography
- Further reading
- Subject index and symbols
- More symbols