Equivariant ordinary homology and cohomology

DOI10.1007/978-3-319-50448-3zbMath1362.55001arXivmath/0310237OpenAlexW1833276116MaRDI QIDQ507603

Steven R. Costenoble, Stefan Waner

Publication date: 6 February 2017

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310237

zbMATH Keywords

Poincaré dualityparametrized spectrafundamental groupoids\(G\)-manifoldsThom isomorphism\(G\)-CW complexes\(G\)-representationsBredon-Illman homologydimensional functionsequivariant ordinary homology and cohomologyequivariant stable homotopy

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Equivariant algebraic topology of manifolds (57R91) Stable homotopy theory, spectra (55P42) Equivariant homology and cohomology in algebraic topology (55N91) Eilenberg-Mac Lane spaces (55P20) Fibrewise topology (55R70) Equivariant homotopy theory in algebraic topology (55P91) Homology with local coefficients, equivariant cohomology (55N25) Duality in algebraic topology (55M05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic topology (55-01)

Related Items (7)

The \(RO (\Pi B)\)-graded \(C_2\)-equivariant ordinary cohomology of \(B_{C_2} U(1)\) ⋮ The multiplicativity of fixed point invariants ⋮ Equivariant Lefschetz and Fuller indices via topological intersection theory ⋮ A vanishing theorem for tautological classes of aspherical manifolds ⋮ Classifying spaces and Bredon (co)homology for transitive groupoids ⋮ Khovanov homotopy type, periodic links and localizations ⋮ The \(C_2\)-equivariant cohomology of complex projective spaces

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