Concentration of Product Spaces

Daisuke Kazukawa

doi:10.1515/agms-2020-0129

Concentration of Product Spaces

Daisuke Kazukawa

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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 language	English
Pages (from-to)	186-218
Number of pages	33
Journal	Analysis and Geometry in Metric Spaces
Volume	9
Issue number	1
DOIs	https://doi.org/10.1515/agms-2020-0129
Publication status	Published - Jan 1 2021
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology
Applied Mathematics

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abstract = "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.",

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Concentration of Product Spaces

Abstract

All Science Journal Classification (ASJC) codes

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