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

Sergey Arkhipov, Sebastian Ørsted

Publikation: Working paper/Preprint Working paperForskningpeer review

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Abstract

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
NavnarXiv

Emneord

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

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