4 citations · 6 across the 6 of their papers we have counts for
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Models for cyclic infinity operads
Brandon Doherty, Philip Hackney
We construct model structures on cyclic dendroidal sets and cyclic dendroidal spaces for cyclic quasi-operads and complete cyclic dendroidal Segal spaces, respectively. We show the…
Symmetry in the cubical Joyal model structure
Brandon Doherty
We study properties of the cubical Joyal model structures on cubical sets by means of a combinatorial construction which allows for convenient comparisons between categories of cub…
Cubical models of higher categories without connections
Brandon Doherty
We prove that each of the model structures for (-trivial, saturated) comical sets on the category of marked cubical sets having only faces and degeneracies (without connections)…
Equivalence of cubical and simplicial approaches to -categories
Brandon Doherty, Chris Kapulkin, Yuki Maehara
We prove that the marked triangulation functor from the category of marked cubical sets equipped with a model structure for (-trivial, saturated) comical sets to the category of…
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…