Weighted limits in simplicial homotopy theory

Nicola Gambino

doi:10.1016/j.jpaa.2009.10.006

Weighted limits in simplicial homotopy theory

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1193-1199
Number of pages	7
Journal	J. Pure Appl. Algebra
Volume	214
Issue number	7
DOIs	https://doi.org/10.1016/j.jpaa.2009.10.006
Publication status	Published - Jul 2010

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title = "Weighted limits in simplicial homotopy theory",

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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AB - 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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DO - 10.1016/j.jpaa.2009.10.006

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JO - J. Pure Appl. Algebra

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Weighted limits in simplicial homotopy theory

Abstract

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