Equivariant homotopy equivalence of homotopy colimits of \(G\)-functors

DOI10.1007/s40065-023-00424-1OpenAlexW4360953596MaRDI QIDQ6084851

Rafael Villarroel-Flores

Publication date: 2 December 2023

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-023-00424-1

zbMATH Keywords

homotopy colimitequivariant homotopy equivalence

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Equivariant homotopy theory in algebraic topology (55P91)

Cites Work

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• Bar and cobar constructions. I
• A classification theorem for diagrams of simplicial sets
• Transformation groups
• Modules of topological spaces, applications to homotopy limits and \(E_ \infty\) structures
• Equivariant cohomology theories
• G-functors, G-posets and homotopy decompositions of G-spaces
• Homotopy colimits - comparison lemmas for combinatorial applications
• Simplicial homotopy theory
• Homotopy equivalence of simplicial sets with a group action

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