Sattler model structures
- 👤 Speaker: Nicola Gambino (University of Leeds)
- 📅 Date & Time: Thursday 18 January 2018, 10:00 - 11:00
- 📍 Venue: MR11, Centre for Mathematical Sciences
Abstract
I will give an overview of Christian Sattler’s paper “The Equivalence Extension Property and Model Structures” (arXiv:1704.06911), in which he introduces a new method to define Quillen model structures on Grothendieck toposes. This method can be applied to give a new elementary proof of the model structure for Kan complexes and to exhibit a previously unknown model structure on the category of cubical sets studied by Coquand and his collaborators. A key aspect is the so-called equivalence extension property, which expresses a form of Voevodsky’s univalence axiom.
Series This talk is part of the Category Theory Seminar series.
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Nicola Gambino (University of Leeds)
Thursday 18 January 2018, 10:00-11:00