Weighted limits in simplicial homotopy theory |
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| Authors: | Nicola Gambino |
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| Institution: | Dipartimento di Matematica e Applicazioni, Università degli Studi di Palermo, via Archirafi 34, 90123 Palermo, Italy School of Mathematics, The University of Manchester, Alan Turing Building, Oxford Road, Manchester M13 9PL, England, United Kingdom |
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| 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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| Keywords: | 18G55 18D20 55U35 18G30 |
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