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Homotopy theory of spectral categories
- Source :
- Advances in Mathematics. 221:1122-1143
- Publication Year :
- 2009
- Publisher :
- Elsevier BV, 2009.
-
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.<br />19 pages
- Subjects :
- Mathematics(all)
Pure mathematics
Equivalence of categories
Quillen model structure
General Mathematics
Homotopy
Spectral category
Structure (category theory)
K-Theory and Homology (math.KT)
Symmetric spectra
18D20, 55P43, 18G55, 19D55
Non-additive filtration
Mathematics::Category Theory
Mathematics - K-Theory and Homology
FOS: Mathematics
Filtration (mathematics)
Algebraic Topology (math.AT)
Mathematics - Algebraic Topology
Construct (philosophy)
Bousfield's localization Q-functor
Mathematics
Subjects
Details
- ISSN :
- 00018708
- Volume :
- 221
- Database :
- OpenAIRE
- Journal :
- Advances in Mathematics
- Accession number :
- edsair.doi.dedup.....e4e3159ed34a9e2c89bab2ff0adca0c6
- Full Text :
- https://doi.org/10.1016/j.aim.2009.01.014