Homotopy theory of Spectral categories

2008/01/29 by Gonçalo Tabuada, Goncalo Tabuada, Tabuada, Goncalo · 2 citations
Mathematics · #18D20 #18G55 #19D55 #55P43 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AT #math.KT #msc:18D20 #msc:18G55 #msc:19D55 #msc:55P43

paper · pdf · doi:10.48550/arxiv.0801.4524

19 pages

openalex publication_date 2008/01/29 · arxiv created 2009/02/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a Quillen model structure on the category of spectral categories, where the weak equivalences are the symmetric spectra analogue of the notion of equivalence of categories.

Citations

• Theorie homotopique des DG-categories

Cited by

• Matrix invariants of Spectral categories
• The Cosmic Galois group as Koszul dual to Waldhausen's A(pt)

Related

• Spectra and symmetric spectra in general model categories
• The Quillen model structure on the category of diffeological spaces
• Spectral enrichments of model categories
• Quillen model categories without equalisers or coequalisers
• Symmetric spectra