P(K) 空间拓扑特性概览

IF 1.8 3区数学 Q1 MATHEMATICS

Japanese Journal of Mathematics Pub Date : 2024-08-29 DOI:10.1007/s11537-024-2410-y

Grzegorz Plebanek

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引用次数: 0

摘要

给定一个紧凑空间 K，我们用 P(K) 表示 K 上所有拉顿概率度量的空间，并配备从 C(K)* 继承而来的弱*拓扑。对于不可度量的紧凑空间 K，即使是 P(K) 空间的基本性质也取决于集合论的附加公理。我们在此讨论有关这一主题的最新成果。

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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A survey on topological properties of P(K) spaces

Given a compact space K, we denote by P(K) the space of all Radon probability measures on K, equipped with the weak* topology inherited from C(K)*. For nonmetrizable compacta K even basic properties of P(K) spaces depend of additional axioms of set theory. We discuss here older and quite recent results on the subject.

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来源期刊

Japanese Journal of Mathematics 数学-数学

CiteScore

3.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The official journal of the Mathematical Society of Japan, the Japanese Journal of Mathematics is devoted to authoritative research survey articles that will promote future progress in mathematics. It encourages advanced and clear expositions, giving new insights on topics of current interest from broad perspectives and/or reviewing all major developments in an important area over many years. An eminent international mathematics journal, the Japanese Journal of Mathematics has been published since 1924. It is an ideal resource for a wide range of mathematicians extending beyond a small circle of specialists. The official journal of the Mathematical Society of Japan. Devoted to authoritative research survey articles that will promote future progress in mathematics. Gives new insight on topics of current interest from broad perspectives and/or reviews all major developments in an important area over many years.