Homotopy theory of spectral categories
Copyright policy )Homotopy theory of spectral categories
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
Mathematics(all), spectral category, Quillen model structure, Spectral category, K-Theory and Homology (math.KT), Symmetric spectra, Nonabelian homotopical algebra, 18D20, 55P43, 18G55, 19D55, Non-additive filtration, Spectra with additional structure (\(E_\infty\), \(A_\infty\), ring spectra, etc.), symmetric spectrum, Mathematics - K-Theory and Homology, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Bousfield's localization Q-functor
Mathematics(all), spectral category, Quillen model structure, Spectral category, K-Theory and Homology (math.KT), Symmetric spectra, Nonabelian homotopical algebra, 18D20, 55P43, 18G55, 19D55, Non-additive filtration, Spectra with additional structure (\(E_\infty\), \(A_\infty\), ring spectra, etc.), symmetric spectrum, Mathematics - K-Theory and Homology, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Bousfield's localization Q-functor
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