5 papers · 1 filter
-Limits I: Definition and first consistency results
Lyne Moser, Nima Rasekh, Martina Rovelli
We give a model-independent definition of limits for diagrams valued in an -category. We show that this definition is compatible with the existing notion of homotopy 2-…
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…
-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…
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…