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Homotopy (co)limits via homotopy (co)ends in general combinatorial model categories

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We prove and explain several classical formulae for homotopy (co)limits in general (combinatorial) model categories which are not necessarily simplicially enriched. Importantly, we prove versions of the Bousfield-Kan formula and the fat totalization formula in this complete generality. We finish with a proof that homotopy-final functors preserve homotopy limits, again in complete generality.
Original languageEnglish
Publication statusPublished - 9 Jul 2018

Bibliographical note

13 pages; updated the abstract and introduction

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