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    Barnea, Ilan and Schlank, Tomer M. 2016. A projective model structure on pro-simplicial sheaves, and the relative étale homotopy type. Advances in Mathematics, Vol. 291, Issue. , p. 784.
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Model structures for pro-simplicial presheaves

  • J.F. Jardine (a1)
Abstract

This paper displays model structures for the category of pro-objects in simplicial presheaves on an arbitrary small Grothendieck site. The first of these is an analogue of the Edwards-Hastings model structure for pro-simplicial sets, in which the cofibrations are monomorphisms and the weak equivalences are specified by comparisons of function complexes. Other model structures are built from the Edwards-Hastings structure by using Bousfield-Friedlander localization techniques. There is, in particular, an n-type structure for pro-simplicial presheaves, and also a model structure in which the map from a pro-object to its Postnikov tower is formally inverted.

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COPYRIGHT: © ISOPP 2011
References
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Journal of K-Theory
  • ISSN: 1865-2433
  • EISSN: 1865-5394
  • URL: /core/journals/journal-of-k-theory
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