On the relationships of cluster measures and distributions of distances in compact metric spaces

DOI10.1134/S0965542518040140zbMath1393.28013OpenAlexW2804032806WikidataQ129782758 ScholiaQ129782758MaRDI QIDQ722431

A. S. Pushnyakov

Publication date: 23 July 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518040140

zbMATH Keywords

Hausdorff metricBorel measurecompact metric spacemaximum cardinality matchingclusterizationBlaschke theorem

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Cites Work

• The universal Urysohn space, Gromov metric triples and random metrics on the natural numbers
• $ M$-strongly convex subsets and their generating sets
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
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