Equivariant singular homology and cohomology. I

DOI10.1090/memo/0156zbMath0297.55003OpenAlexW2503701542MaRDI QIDQ4051311

Soeren Illman

Publication date: 1975

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0156

Mathematics Subject Classification ID

Topological transformation groups (57S99) Homology and cohomology theories in algebraic topology (55N99) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (25)

Steenrod \(\bigcup_i\)-products on Bredon--Illman cohomology ⋮ Equivariant Covering Spaces and Cohomology ⋮ Equivariant Alexander-Spanier cohomology and P.A. Smith theory ⋮ Equivariant homotopical homology with coefficients in a Mackey functor ⋮ Unnamed Item ⋮ Equivariant Classifying Spaces and Fibrations ⋮ G-invariante Morse-Funktionen. (G-invariant Morse functions) ⋮ Actions of totally disconnected groups and equivariant singular homology ⋮ A spectral sequence for Bredon cohomology ⋮ Bredon cohomology of cyclic geometric realization of \(G\)-cyclic sets ⋮ Bredon-Illman cohomology with actions of totally disconnected groups ⋮ Actions of totally disconnected groups and equivariant singular cohomology ⋮ Systems of Fixed Point Sets ⋮ Equivariant acyclic maps ⋮ Local-to-global spectral sequences for the cohomology of diagrams ⋮ The Equivariant Hurewicz Map ⋮ Equivariant cohomology with local coefficients ⋮ Equivariant Eilenberg-MacLane spaces and the equivariant Seifert-van Kampen and suspension theorems ⋮ Morse theory on \(G\)-manifolds ⋮ Homology decompositions for classifying spaces of compact Lie groups ⋮ Equivariant algebraic topology ⋮ The equivariant Serre spectral sequence as an application of a spectral sequence of Spanier ⋮ Ordinary 𝑅𝑂(𝐺)-graded cohomology ⋮ An axiomatic approach to equivariant cohomology theories ⋮ Families of subgroups and completion

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