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Common terms and phrasesacts trivially acyclic assume assumption Borel bundle closed subgroup closed subset coefficients cohomology manifold cohomology sequence commutative diagram compact connected compact Lie group compact subset component consider contained COROLLARY cross-section defined definition denote differentiable dim H*(X element equivariant equivariant embedding Euclidean G-space exact sequence fibering fibre filtration finite group finite number fixed point set G acts G. D. Mostow group G H-slice hence homology homomorphism implies induces integer isomorphism isotropy groups isotropy subgroups LEMMA Leray sheaf Let f Let G Lie group acting locally compact space Math maximal torus metric module Moreover Mostow natural map notation number of non-conjugate open neighborhood open set orbit types orbits of G orientable p-group p-torsion paracompact Poincare duality prime principal bundle principal orbit PROPOSITION prove rank G REMARK respectively slice spectral sequence subgroup of G topological transformation groups zero Popular passagesPage 230 - in generalized manifolds and applications to the theory of transformation groups", to appear. [2] CH Dowker, "Mapping theorems for non-compact spaces", Amer. J. Math., References to this bookFrom other books
From Google ScholarIntersection homology IIMark Goresky, Robert MacPherson - 1983 - Inventiones Mathematicae Seifertn-manifoldsPeter Orlik, Philip Wagreich - 1975 - Inventiones Mathematicae Equivariant K-theoryGraeme Segal - 1968 - Publications Mathématiques de L'IHÉS Equivariant cohomology, Koszul duality, and the localization theoremMark Goresky, Robert Kottwitz, Robert MacPherson - 1997 - Inventiones Mathematicae References from web pagesJSTOR: Seminar on Transformation Groups Review: A. Borel, Seminar on transformation groups Hurt: Homogeneous fibered and quantizable dynamical systems Comments on: G-equivariant embeddings of manifolds Some history Tmecca : Seminar on Transformation Groups. (Am-46) by Borel ... Some theorems in sheaf theory for spaces with a finite group of ... Brylinski: Cyclic homology and equivariant theories Borel, Haefliger: La classe d'homologie fondamentale d'un espace ... ON HOMOLOGY THEORY ASSOCIATED WITH THE ALEKSANDROV-CECH COHOMOLOGY Bibliographic information
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