Concentration of Product Spaces

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1 Citation (Scopus)


We investigate the relation between the concentration and the product of metric measure spaces. We have the natural question whether, for two concentrating sequences of metric measure spaces, the sequence of their product spaces also concentrates. A partial answer is mentioned in Gromov's book [4]. We obtain a complete answer for this question.

Original languageEnglish
Pages (from-to)186-218
Number of pages33
JournalAnalysis and Geometry in Metric Spaces
Issue number1
Publication statusPublished - Jan 1 2021
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology
  • Applied Mathematics


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