Simplicial methods for higher categories. Segal-type models of weak \(n\)-categories

DOI10.1007/978-3-030-05674-2zbMath1428.18001OpenAlexW4239678534MaRDI QIDQ1728754

Simona Paoli

Publication date: 25 February 2019

Published in: Algebra and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-05674-2

zbMATH Keywords

\(n\)-fold categoryweak \(n\)-categoryhomotopically discrete categoryhomotpy hypothesismultinerveSegal conditionTamsamani-Simpson modelweak globularity

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Definitions and generalizations in theory of categories (18A05) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02) Topological categories, foundations of homotopy theory (55U40) Research exposition (monographs, survey articles) pertaining to category theory (18-02) Homotopical algebra, Quillen model categories, derivators (18N40) Simplicial sets, simplicial objects (18N50) 2-categories, bicategories, double categories (18N10)

Related Items (5)

Stable homotopy hypothesis in the Tamsamani model ⋮ What is an equivalence in a higher category? ⋮ Homotopical algebra and higher structures. Abstracts from the workshop held September 19--25, 2021 (hybrid meeting) ⋮ Unnamed Item ⋮ Comonad cohomology of track categories

This page was built for publication: Simplicial methods for higher categories. Segal-type models of weak \(n\)-categories