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
Assembly of Constructible Factorization Algebras
Eilind Karlsson, Claudia I. Scheimbauer, Tashi Walde
We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras o…
math.CT2025
Lax Additivity
Merlin Christ, Tobias Dyckerhoff, Tashi Walde
We introduce notions of lax semiadditive and lax additive -categories, categorifying the classical notions of semiadditive and additive 1-categories. To establish a wel…