Pettis property for Polish inverse semigroups-Reference-Cited by-同舟云学术

Pettis property for Polish inverse semigroups

Published:2023-10-02 Issue:2 Volume:24 Page:455-467
ISSN:1989-4147
Container-title:Applied General Topology
language:
Short-container-title:Appl. Gen. Topol.

Author:

Arana Karen^ORCID,Pérez Jerson,Uzcátegui Carlos^ORCID

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.

Publisher

Universitat Politecnica de Valencia

Subject

Geometry and Topology

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