4 citations · 8 across the 2 of their papers we have counts for
3 papers
math.MG2022★ 4 cited
Basic Metric Geometry of the Bottleneck Distance
Mauricio Che, Fernando Galaz-García, Luis Guijarro +2
Given a metric pair , i.e. a metric space and a distinguished closed set , one may construct in a functorial way a pointed pseudometric space $\mathcal{D}_\…
math.MG2021★ 4 cited
Metric Geometry of Spaces of Persistence Diagrams
Mauricio Che, Fernando Galaz-García, Luis Guijarro +1
Persistence diagrams are objects that play a central role in topological data analysis. In the present article, we investigate the local and global geometric properties of spaces o…
math.MG2017
On quotients of spaces with Ricci curvature bounded below
Fernando Galaz-García, Martin Kell, Andrea Mondino +1
Let be a smooth Riemannian manifold and a compact Lie group acting on effectively and by isometries. It is well known that a lower bound of the sectional c…