This entry compiles material related to the textbook
Transformation Groups
de Gruyter 1987
on transformation groups/topological G-spaces, equivariant homotopy theory and equivariant cohomology.
Beware the existence of a book of similar title, by the same author and largely on the same subjects:
See also:
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Basic notions
General remarks. Examples
Elementary properties
Functorial properties
Differentiable manifolds. Tubes and slices
Families of subgroups
Equivariant maps
Bundles
Vector bundles
Orbit categories, fundamental groups, and coverings
Equivariant CW-complexes
Maps between complexes
Obstruction theory
The classification theorem of Hopf
Maps between complex representation spheres
Stable homotopy. Homology. Cohomology
Homology with families
The Burnside ring and stable homotopy
Bredon homology and Mackey functors
Homotopy representations
Equivariant bundle cohomology
Cohomology of some classifying spaces
Localization
Applications of localization
Borel-Smith functions
Further results for cyclic groups. Applications
Additive invariants
The Burnside ring
The space of subgroups
Prime ideals
Congruences
Finiteness theorems
Idempotent elements
Induction categories
Induction theory
The Burnside ring and localization
Last revised on June 29, 2021 at 09:12:29. See the history of this page for a list of all contributions to it.