16 citations · 42 across the 28 of their papers we have counts for
33 papers
About the contractibility of the walking coinductive equivalence
Viktoriya Ozornova, Martina Rovelli, Tashi Walde
We study the marked simplicial set obtained as the Roberts-Street nerve of the walking coinductive equivalence. We show that it is a non-contractible saturated complicial set for w…
Cores and localizations of -categories
Viktoriya Ozornova, Martina Rovelli, Tashi Walde
We consider -categories in the limit via the core or localization functors that forget or invert higher non-invertible arrows, respectively. We compare th…
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…
-categories in context
Viktoriya Ozornova, Martina Rovelli
This note is a contribution written for the second volume of the Encyclopedia of mathematical physics. We give an informal introduction to the notions of an -category a…
The -construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces
Martina Rovelli
This note is a contribution for a proceedings volume of the workshop "Higher Segal Spaces and their Applications to Algebraic K-Theory, Hall Algebras, and Combinatorics". The conte…