Discreteness and completeness for \(\Theta_n\)-models of \((\infty, n)\)-categories

DOI10.2140/tunis.2024.6.49arXiv2209.08156OpenAlexW4391354386MaRDI QIDQ6151631

Julia E. Bergner

Publication date: 12 February 2024

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

Full work available at URL: https://arxiv.org/abs/2209.08156

zbMATH Keywords

model categories\((\infty, n)\)-categoriesSegal categories\(\Theta_n\)-spacesDwyer-Kan equivalences

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Enriched categories (over closed or monoidal categories) (18D20) Topological categories, foundations of homotopy theory (55U40) Homotopical algebra, Quillen model categories, derivators (18N40) Simplicial sets, simplicial objects (18N50) ((infty, n))-categories and ((infty,infty))-categories (18N65)

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