25 citations · 50 across the 10 of their papers we have counts for
11 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…
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…
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…
Complexes of stable -categories
Merlin Christ, Tobias Dyckerhoff, Tashi Walde
We study complexes of stable -categories, referred to as categorical complexes. As we demonstrate, examples of such complexes arise in a variety of subjects including repre…
Homotopy coherent theorems of Dold-Kan type
Tashi Walde
We establish a large class of homotopy coherent Morita-equivalences of Dold-Kan type relating diagrams with values in any weakly idempotent complete additive -category; the…