most citedStrong topology on the set of persistence diagrams

23 citations

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2 papers

math.GN2020★ 23 cited

Strong topology on the set of persistence diagrams

Volodymyr Kiosak, Aleksandr Savchenko, Mykhailo Zarichnyi

We endow the set of persistence diagrams with the strong topology (the topology of countable direct limit of increasing sequence of bounded subsets considered in the bottleneck dis…

math.GN2011★ 14 cited

Fuzzy Prokhorov metric on the set of probability measures

D. Repovš, A. Savchenko, M. Zarichnyi

We introduce a fuzzy metric on the set of probability measures on a fuzzy metric space. The construction is an analogue, in the realm of fuzzy metric spaces, of the Prokhorov metri…