32 citations · 40 across the 3 of their papers we have counts for
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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★ 32 cited
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…