4 papers
math.CT2024
A remark on fibrancy of ($\mbox{A$_{\infty}$Cat}$,$W^{\tiny\mbox{A}_{\infty}}_{\tiny\mbox{qe}}$)
Xiaofa Chen, Mattia Ornaghi
In this note we prove the existence, in the category of (strictly unital) Acategories, of the pullback of a (strictly unital) Afunctor, satisfying a particula…
math.RT2024
Exact dg categories II : The embedding theorem
Xiaofa Chen
For an exact dg category , we introduce its bounded dg derived category and establish the universal exact morphism from to…
math.RT2024
Exact dg categories I : Foundations
Xiaofa Chen
We introduce the notion of exact dg category, which provides a differential graded enhancement of Nakaoka--Palu's notion of extriangulated category. We give a definition in complet…
math.RT2024
Iyama-Solberg correspondence for exact dg categories
Xiaofa Chen
We generalize the notions of -cluster tilting pair and -Auslander exact dg category to -precluster tilting triple and -minimal Auslander--Gorenstein exact dg category.…