P(K) 空间拓扑特性概览

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.