Diagram cohomology and isovariant homotopy theory

DOI10.1090/memo/0527zbMath0815.55002OpenAlexW1972138706MaRDI QIDQ4303277

Reinhard Schultz, Giora Dula

Publication date: 5 July 1995

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

Full work available at URL: https://doi.org/10.1090/memo/0527

zbMATH Keywords

homotopy groupequivariant mapgroup actionobstruction theoryfunction spaceequivariant homotopyBredon cohomologyThom-Mather stratificationisovariant mapdiagram cohomologydiagram categoryisovariant homotopyBarratt-Federer spectral sequenceequivariant normal bundlequasistratificationtreelike isotropy structure

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Localization and completion in homotopy theory (55P60) Compact Lie groups of differentiable transformations (57S15) Finite transformation groups (57S17) Equivariant homotopy theory in algebraic topology (55P91) Spectral sequences in algebraic topology (55T99) Other homology theories in algebraic topology (55N35) Equivariant homotopy groups (55Q91) Homology with local coefficients, equivariant cohomology (55N25) Stratifications in topological manifolds (57N80) Equivariant operations and obstructions in algebraic topology (55S91) Classification of mappings in algebraic topology (55S37) Homotopy groups of wedges, joins, and simple spaces (55Q20)

Related Items (8)

An isovariant Elmendorf's theorem ⋮ Estimates of the isovariant Borsuk-Ulam constants of connected compact Lie groups ⋮ Isovariant mappings of degree 1 and the gap hypothesis ⋮ Isovariant homotopy theory and fixed point invariants ⋮ Isovariant maps from free \(C_n\)-manifolds to representation spheres ⋮ Isovariant Borsuk-Ulam results for pseudofree circle actions and their converse ⋮ Local-to-global spectral sequences for the cohomology of diagrams ⋮ Isovariant homotopy equivalences of manifolds with group actions

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