5 citations · 13 across the 4 of their papers we have counts for
7 papers
Cocycles in categories of fibrant objects
Zhen Lin Low
We establish that a category of fibrant objects (in the sense of Brown) admits a Dwyer-Kan homotopical calculus of right fractions. This is done using a homotopical calculus of coc…
Revisiting function complexes and simplicial localisation
Zhen Lin Low
In this paper three results are established: firstly, that the homotopy function complexes of Dwyer and Kan can be defined as certain total right derived functors; secondly, that t…
From fractions to complete Segal spaces
Zhen Lin Low, Aaron Mazel-Gee
We show that the Rezk classification diagram of a relative category admitting a homotopical version of the two-sided calculus of fractions is a Segal space up to Reedy-fibrant repl…
Internal and local homotopy theory
Zhen Lin Low
There is a well-established homotopy theory of simplicial objects in a Grothendieck topos, and folklore says that the weak equivalences are axiomatisable in the geometric fragment…
The heart of a combinatorial model category
Zhen Lin Low
We show that every small model category that satisfies certain size conditions can be completed to yield a combinatorial model category, and conversely, every combinatorial model c…
The homotopy bicategory of -categories
Zhen Lin Low
Evidence is given for the correctness of the Joyal-Riehl-Verity construction of the homotopy bicategory of the -category of -categories; in particular, it…