3 papers
math.CT2025
Multiplicative structures on comodules in higher categories
Takeshi Torii
In this paper we study multiplicative structures on comodules over bialgebras in the setting of -categories. We show that the -category of comodules over an $(\math…
math.CT2024
Map monoidales and duoidal -categories
Takeshi Torii
In this paper we give an example of duoidal -categories. We introduce map -monoidales in an -monoidal -category for an -operad…
math.CT2024
A simple model for twisted arrow -categories
Takeshi Torii
Twisted arrow -categories of -categories were introduced by Lurie, and they have various applications in higher category theory. Abellán García and Stern gave a…