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.
GAMBINO, N. (2010). Weighted limits in simplicial homotopy theory. JOURNAL OF PURE AND APPLIED ALGEBRA, 2010, 1193-1199 [10.1016/j.jpaa.2009.10.006].
Weighted limits in simplicial homotopy theory
GAMBINO, Nicola
2010-01-01
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.
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