16 citations · 42 across the 28 of their papers we have counts for
5 papers · 1 filter
Zigzags and free adjunctions
Lorenzo Riva, Martina Rovelli
We construct an explicit combinatorial model of the functor which adds right adjoints to the morphisms of an -category, and we speculate on possible extensions to higher di…
The Morita -category of a monoidal category as a -complicial set
Arghan Dutta, Stefano Luneia, Martina Rovelli +1
We provide an explicit and elementary construction of the Morita -category of a monoidal category which satisfies minimal conditions. We construct it as a -coskeleta…
A model for the coherent walking -equivalence
Amar Hadzihasanovic, Félix Loubaton, Viktoriya Ozornova +1
We prove that a certain -category, which was constructed in previous work by the third and fourth author, is a model for the fully coherent walking -equivalence. Further, app…
A categorical characterization of strong Steiner -categories
Dimitri Ara, Andrea Gagna, Viktoriya Ozornova +1
Strong Steiner -categories are a class of -categories that admit algebraic models in the form of chain complexes, whose formalism allows for several explicit computations. Th…
Induced model structures for higher categories
Philip Hackney, Martina Rovelli
We give a new criterion guaranteeing existence of model structures left-induced along a functor admitting both adjoints. This works under the hypothesis that the functor induces id…