6 citations · 17 across the 13 of their papers we have counts for
7 papers · 1 filter
Enriched categorical aspects of homological perturbation theory
Lukáš Vokřínek
The paper presents an enriched categorical account of homological perturbation theory, including the formulation, proof and functoriality properties of the homological perturbation…
Constructing spectra using cone injectivity
Jan Jurka, Tomáš Perutka, Lukáš Vokřínek
We provide a generalization of the construction of a spectrum of a commutative ring as a locally ringed space, applicable to cone injectivity classes in general contexts, especiall…
Adjoint functor theorems for homotopically enriched categories
John Bourke, Stephen Lack, Lukáš Vokřínek
We prove an adjoint functor theorem in the setting of categories enriched in a monoidal model category admitting certain limits. When is equipped with the…
Enriched cofibration categories
Lukáš Vokřínek
Cofibration categories are a formalization of homotopy theory useful for dealing with homotopy colimits that exist on the level of models as colimits of cofibrant diagrams. In this…
Pushouts of categories, derived limits and colimits
Lukáš Vokřínek
In a paper by Ford, it is claimed that to any pushout square of categories with all involved functors injective, there is associated an exact "Mayer--Vietoris" sequence of derived…
On a fat small object argument
Michael Makkai, Jiří Rosický, Lukáš Vokřínek
Good colimits introduced by J. Lurie generalize transfinite composites and provide an important tool for understanding cofibrant generation in locally presentable categories. We wi…