32 citations · 123 across the 21 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.DG2020★ 2 cited
Boundary regularity and stability for spaces with Ricci bounded below
Elia Bruè, Aaron Naber, Daniele Semola
This paper studies the structure and stability of boundaries in noncollapsed spaces, that is, metric-measure spaces with lower Ricc…
math.FA2020★ 9 cited
The equality case in Cheeger's and Buser's inequalities on spaces
Nicolò De Ponti, Andrea Mondino, Daniele Semola
We prove that the sharp Buser's inequality obtained in the framework of spaces by the first two authors is rigid, i.e. equality is obtained if and only if…
math.MG2020★ 2 cited
Rectifiability of RCD(K,N) spaces via -splitting maps
Elia Bruè, Enrico Pasqualetto, Daniele Semola
In this note we give new proofs of rectifiability of RCD(K,N) spaces as metric measure spaces and lower semicontinuity of the essential dimension, via -splitting maps. The argum…