Dear all, Those of you who are interested in Christian Sattler's result may find of interest also the slides of two talks, available at: http://www1.maths.leeds.ac.uk/~pmtng/gdr-I.pdf http://www1.maths.leeds.ac.uk/~pmtng/gdr-II.pdf With best wishes, Nicola == Dr Nicola Gambino School of Mathematics, University of Leeds On 29 Dec 2016, at 13:46, Thierry Coquand > wrote: I tried in the following note to present as simply as possible the model structure discovered by Christian Sattler on a large class of presheaf categories (the hypotheses I have on the base category are not minimal). The goal of the note is only to describe what are the fibrations, cofibrations and weak equivalence without giving proofs (only the 2 first sections are necessary; one remark however is that the proofs are all effective). It is not clear at this point if the categories obtained by localising at weak equivalences are equivalent to the homotopy category of Top. Thierry -- You received this message because you are subscribed to the Google Groups "Homotopy Type Theory" group. To unsubscribe from this group and stop receiving emails from it, send an email to HomotopyTypeThe...@googlegroups.com. For more options, visit https://groups.google.com/d/optout.