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math.AT2026
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…
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…