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arXiv · 2012.03041

Topologies on the symmetric inverse semigroup

J. Perez·C. Uzcategui
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Abstract

The symmetric inverse semigroup $I(X)$ on a set $X$ is the collection of all partial bijections between subsets of $X$ with composition as the algebraic operation. We study a minimal Hausdorff inverse semigroup topologies on $I(X)$. When $X$ is countable, we show some Polish semigroup topologies on $I(X)$.

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J. Perez, C. Uzcategui. 2020-12-05. Topologies on the symmetric inverse semigroup. https://arxiv.org/abs/2012.03041

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