Vogt's theorem on categories of homotopy coherent diagrams
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Publication:3739900
DOI10.1017/S0305004100065877zbMath0603.55017MaRDI QIDQ3739900
Jean-Marc Cordier, Timothy Porter
Publication date: 1986
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
strong shape theoryprohomotopy theorycompactly generated topological spaceshomotopy coherent A-diagramshomotopy coherent Kan extensionslocalized categorylocally Kan simplicially enriched category
Simplicial sets and complexes in algebraic topology (55U10) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Enriched categories (over closed or monoidal categories) (18D20)
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Cites Work
- Unnamed Item
- A general formulation of homotopy limits
- Cech and Steenrod homotopy theories with applications to geometric topology
- Homotopy limits and colimits
- Categories and cohomology theories
- Homotopy invariant algebraic structures on topological spaces
- Stability results for topological spaces
- Homotopy in Functor Categories
- A Note on Homotopy Equivalences