4 citations · 8 across the 3 of their papers we have counts for
3 papers
Calculus of Fractions for Quasicategories
Daniel Carranza, Chris Kapulkin, Zachery Lindsey
We describe a generalization of Gabriel and Zisman's Calculus of Fractions to quasicategories, showing that the two essentially coincide for the nerve of a category. We then prove…
Cubical models of -categories
Brandon Doherty, Chris Kapulkin, Zachery Lindsey +1
We construct a model structure on the category of cubical sets with connections whose cofibrations are the monomorphisms and whose fibrant objects are defined by the right lifting…
A co-reflection of cubical sets into simplicial sets with applications to model structures
Chris Kapulkin, Zachery Lindsey, Liang Ze Wong
We show that the category of simplicial sets is a co-reflective subcategory of the category of cubical sets with connections, with the inclusion given by a version of the straighte…