Homotopy coherent theorems of Dold-Kan type

DOI10.1016/j.aim.2021.108175zbMath1483.18028arXiv1912.06368OpenAlexW4205887065WikidataQ113880995 ScholiaQ113880995MaRDI QIDQ2078857

Tashi Walde

Publication date: 4 March 2022

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

Full work available at URL: https://arxiv.org/abs/1912.06368

zbMATH Keywords

categorical equivalenceadditive infinity-categorycoherent chain complexDold-Kansimplex categoryweakly idempotent complete

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Simplicial sets, simplicial objects (18N50) Simplicial modules and Dold-Kan correspondence (18G31)

Cites Work

• Unnamed Item
• Homology of symmetric products and other functors of complexes
• Homologie nicht-additiver Funktoren. Anwendungen
• Universality of multiplicative infinite loop space machines
• Dold-Kan type theorems and Morita equivalences of functor categories.
• Dold-Kan type theorem for \(\Gamma\)-groups
• Categories and cohomology theories
• Quasi-categories and Kan complexes
• Corrigendum to: ``Combinatorial categorical equivalences of Dold-Kan type
• Combinatorial categorical equivalences of Dold-Kan type
• FI-modules and stability for representations of symmetric groups
• Conjugate pairs of categories and Quillen equivalent stable model categories of functors
• Exact categories
• Morita Equivalences of Functor Categories and Decompositions of Functors Defined on a Category Associated to Algebras with One-Side Units
• Functors Involving C.S.S. Complexes
• Higher Categories and Homotopical Algebra
• Higher Topos Theory (AM-170)

This page was built for publication: Homotopy coherent theorems of Dold-Kan type