乘积空间的集中

Pub Date : 2019-09-26 DOI:10.1515/agms-2020-0129

Daisuke Kazukawa

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引用次数: 2

摘要

摘要我们研究度量测度空间的乘积与浓度之间的关系。我们有一个自然的问题，对于度量测度空间的两个集中序列，它们的乘积空间的序列是否也集中。格罗莫夫的书[4]中提到了部分答案。我们得到了这个问题的完整答案。

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Concentration of Product Spaces

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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