Pettis property for Polish inverse semigroups
General Topology
2022-03-29 v1 Logic
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.
Cite
@article{arxiv.2203.14146,
title = {Pettis property for Polish inverse semigroups},
author = {Karen Arana and Jerson Perez and Carlos Uzcategui},
journal= {arXiv preprint arXiv:2203.14146},
year = {2022}
}