21 citations · 73 across the 24 of their papers we have counts for
Showing math.MGShow all
2 papers · 1 filter
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…