activity
20012024
most citedLocally class-presentable and class-accessible categories

25 citations · 85 across the 19 of their papers we have counts for

collaborators

21 papers

math.AT2024

Homotopical recognition of diagram categories

Boris Chorny, David White

Building on work of Marta Bunge in the one-categorical case, we characterize when a given model category is Quillen equivalent to a presheaf category with the projective model stru…

math.AT2020

Admissible replacements for simplicial monoidal model categories

Haldun Özgür Bayındır, Boris Chorny

Using Dugger's construction of universal model categories, we produce replacements for simplicial and combinatorial symmetric monoidal model categories with better operadic propert…

math.AT2019

Representability theorems, up to homotopy

David Blanc, Boris Chorny

We prove two representability theorems, up to homotopy, for presheaves taking values in a closed symmetric combinatorial model category \cat V. The first theorem resembles the Frey…

math.AT2018

A variant of a Dwyer-Kan theorem for model categories

Boris Chorny, David White

If all objects of a simplicial combinatorial model category \cat A are cofibrant, then there exists the homotopy model structure on the category of small functors $\sS^{\cat A}$, w…

math.AT2014★ 1 cited

A classification of small linear functors

Boris Chorny

We extend Goodwillie's classification of finitary linear functors to arbitrary small functors. That is we show that every small linear simplicial functor from spectra to simplicial…

math.AT2013★ 3 cited

Homotopy theory of relative simplicial presheaves

Boris Chorny

We show that a category equipped with a model structure defined by a proper, locally small class of orbits is Quillen equivalent to the category of smal…