Homotopy inverses for nerve

DOI10.1090/S0273-0979-1979-14579-8zbMath0456.55013MaRDI QIDQ5904698

Rudolf Fritsch, Dana May Latch

Publication date: 1979

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

zbMATH Keywords

simplicial setnormal subdivisioncategory of small categoriescolimits of the nerves of categorical simplicesdivided functorinterior and the boundary of a simplexnerve of colimits of categorical simplicesskeletal decompositions and attaching processespushouts preserved by nerve up to weak homotopy

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Simplicial sets and complexes in algebraic topology (55U10) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30)

Related Items (7)

A model structure à la Thomason on 2-Cat ⋮ A Thomason model structure on the category of small \(n\)-fold categories ⋮ Unnamed Item ⋮ Model structures on the category of small double categories ⋮ Simplicial sets from categories ⋮ Unnamed Item ⋮ Homotopy inverses for nerve

Cites Work

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• Some remarks on S. Weingram: On the triangulation of a semisimplicial complex
• Classifying spaces and spectral sequences
• Semi-simplicial complexes and singular homology
• On c.s.s. Complexes
• Functors Involving C.S.S. Complexes
• Higher algebraic K-theory: I
• Homotopy for Functors
• Combinatorial homotopy. I
• Acyclic Models

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