Homotopy theory of Spectral categories

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.

19 pages

References in corpus (5)

• Algebras and modules in monoidal model categories
• Equivalences of monoidal model categories
• Theorie homotopique des DG-categories
• Topological Hochschild cohomology and generalized Morita equivalence
• A model category structure on the category of simplicial multicategories

Cited by in corpus (6)

• Localization theorems in topological Hochschild homology and topological cyclic homology
• Admissibility and rectification of colored symmetric operads
• Kaledin's degeneration theorem and topological Hochschild homology
• The Grothendieck Construction and Gradings for Enriched Categories
• The Cosmic Galois group as Koszul dual to Waldhausen's A(pt)
• Matrix invariants of Spectral categories