M. Rovelli

activity

20152026

(\infty, n)

-categories on (pre)stratified simplicial sets and prestratified simplicial spaces

16 citations · 42 across the 28 of their papers we have counts for

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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 $(\infty, \infty)$ -categories

Viktoriya Ozornova, Martina Rovelli, Tashi Walde

We consider $(\infty, d)$ -categories in the limit $d \to \infty$ via the core or localization functors that forget or invert higher non-invertible arrows, respectively. We compare th…

About the contractibility of the walking coinductive equivalence

Cores and localizations of (∞,∞)-categories

Cores and localizations of $(\infty, \infty)$ -categories