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

Publikation: Working paperForskningpeer review

Dokumenter

  • 1807.03266v6

    Forlagets udgivne version, 152 KB, PDF-dokument

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.
OriginalsprogEngelsk
StatusUdgivet - 9 jul. 2018
SerietitelarXiv

    Forskningsområder

  • math.CT, 18G55, 18D99, 55U35, 18G30

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