Pettis property for Polish inverse semigroups

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2023-10-02 DOI:10.4995/agt.2023.17396

Karen Arana, Jerson Pérez, Carlos Uzcátegui

引用次数: 1

Abstract

We study a property about Polish inverse semigroups similar to the classical theorem of Pettis about Polish groups. In contrast to what happens with Polish groups, not every Polish inverse semigroup have the Pettis property. We present several examples of Polish inverse subsemigroup of the symmetric inverse semigroup I(N) of all partial bijections between subsets of N. We also study whether our examples satisfy automatic continuity.

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波兰逆半群的Pettis性质

研究了波兰逆半群的一个性质，类似于波兰群的经典佩蒂斯定理。与波兰群相反，不是每个波兰逆半群都有佩蒂斯性质。给出了N子集间所有偏对射的对称逆半群I(N)的波兰逆半群的几个例子，并研究了这些例子是否满足自动连续性。

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

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.