3 papers
math.AT2026
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…
math.AT2025
-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…
math.AT2024
Waldhausen's -construction
Viktoriya Ozornova, Martina Rovelli
This note is an expository contribution for a proceedings volume of the workshop "Higher Segal Spaces and their Applications to Algebraic K-theory, Hall Algebras, and Combinatorics…