some model categories

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Thierry Coquand

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Dec 29, 2016, 7:46:17 AM12/29/16
to Homotopy Type Theory
 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

Nicola Gambino

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Dec 29, 2016, 2:39:18 PM12/29/16
to Homotopy Type Theory
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: 


With best wishes,
Nicola

==
Dr Nicola Gambino
School of Mathematics, University of Leeds
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