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The covering homotopy extension problem for compact transformation groups

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Publication:1946439
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DOI10.1134/S0001434612110181zbMath1271.54057OpenAlexW1988843342MaRDI QIDQ1946439

Dušan D. Repovš, Sergei M. Ageev

Publication date: 15 April 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434612110181


zbMATH Keywords

classifying spaceorbit space\(G\)-spaceuniversal \(G\)-space in the sense of Palaiscompact transformation groupabsolute (neighborhood) extensorcovering homotopy


Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)


Related Items

The cohomology ring of subspaces of universal \(S^1\)-space with finite orbit types ⋮ Equivariant cohomology algebras of \(\mathfrak{F}\)-classifying \(T^k\)-spaces



Cites Work

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  • Transformation groups
  • Transformation groups and representation theory
  • On Palais universalG-spaces and isovariant absolute extensors
  • Isovariant extensors and the characterization of equivariant homotopy equivalences
  • Mackey Functors and G-Cohomology
  • A Generalization of the Cohomology of Groups
  • The classification of 𝐺-spaces
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