Search results for " simplicial model categories"

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Weighted limits in simplicial homotopy theory

2010

Abstract By combining ideas of homotopical algebra and of enriched category theory, we explain how two classical formulas for homotopy colimits, one arising from the work of Quillen and one arising from the work of Bousfield and Kan, are instances of general formulas for the derived functor of the weighted colimit functor.

Pure mathematicsAlgebra and Number TheoryFunctorBrown's representability theoremHomotopy categoryModel categoryHomotopical algebraHomotopiaQuillen adjunctionCone (category theory)Mathematics::Algebraic TopologyAlgebraCategories (Matemàtica)Homotopy limits simplicial model categories weighted limitsMathematics::K-Theory and HomologyMathematics::Category TheorySimplicial set512 - ÀlgebraMathematics
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