Bauer simplices and the small boundary property

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2024-08-13 DOI:10.1016/j.jfa.2024.110619

David Kerr, Grigoris Kopsacheilis, Spyridon Petrakos

引用次数: 0

Abstract

We show that, for every minimal action of a countably infinite discrete group on a compact metrizable space, if the extreme boundary of the simplex of invariant Borel probability measures is closed and has finite covering dimension then the action has the small boundary property.

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鲍尔简约和小边界特性

我们证明，对于可数无限离散群在紧凑可元空间上的每一个最小作用，如果不变 Borel 概率度量的单纯形的极边界是封闭的，并且具有有限的覆盖维度，那么该作用就具有小边界特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis