Maps between homotopy coherent diagrams

DOI10.1016/0166-8641(88)90046-6zbMath0655.55008OpenAlexW2016813975MaRDI QIDQ1109370

Timothy Porter, Jean-Marc Cordier

Publication date: 1988

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(88)90046-6

zbMATH Keywords

homotopy equivalencesstrong shape theorycoherent diagrams in simplicial categoriesgroup actions up to homotopyhomotopy coherent diagram of topological spaces

Mathematics Subject Classification ID

Finite transformation groups (57S17) Homotopy theory (55P99) Simplicial sets and complexes in algebraic topology (55U10) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Equivariant homotopy theory in algebraic topology (55P91)

Related Items

Representations up to coherent homotopy ⋮ Variations on a theme of homotopy ⋮ Ordinal subdivision and special pasting in quasicategories ⋮ Global analogues of the Brown–Grossman proper homotopy groups of an end ⋮ From inverse to coherent systems ⋮ Fibrant diagrams, rectifications and a construction of Loday ⋮ Unnamed Item

Cites Work

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• Simplicial localizations of categories
• Homotopy limits and colimits
• Homotopy invariant algebraic structures on topological spaces
• Vogt's theorem on categories of homotopy coherent diagrams