Strict \(n\)-categories and augmented directed complexes model homotopy types

DOI10.1016/j.aim.2018.04.010zbMath1395.18008arXiv1612.04450OpenAlexW2963019843WikidataQ129639790 ScholiaQ129639790MaRDI QIDQ1647391

Andrea Gagna

Publication date: 26 June 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04450

zbMATH Keywords

simplicial setnerveaugmented directed complexstrict \(n\)-category

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Simplicial sets and complexes in algebraic topology (55U10) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Chain complexes (category-theoretic aspects), dg categories (18G35)

Related Items (7)

A Quillen's Theorem A for strict $\infty$-categories II: the $\infty$-categorical proof ⋮ A categorical characterization of strong Steiner \(\omega\)-categories ⋮ Homotopical algebra and higher structures. Abstracts from the workshop held September 19--25, 2021 (hybrid meeting) ⋮ A Quillen's Theorem A for strict \(\infty\)-categories. I: The simplicial proof ⋮ Homology of categories via polygraphic resolutions ⋮ A Quillen Theorem B for strict ∞‐categories ⋮ Comparison of \(n\)-categorical nerves

Cites Work

• Unnamed Item
• The algebra of oriented simplexes
• Omega-categories and chain complexes
• Towards a Thomason model structure on the category of strict \(n\)-categories
• Complexe cotangent et déformations. II
• Th\'eories homotopiques des 2-cat\'egories
• On c.s.s. Complexes
• Homotopy inverses for nerve

This page was built for publication: Strict \(n\)-categories and augmented directed complexes model homotopy types