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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… Click to show full 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 $I(X)$.
Keywords:
semigroup;
topologies symmetric;
symmetric inverse;
inverse semigroup;
semigroup topologies
Journal Title: Semigroup Forum
Year Published: 2022
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Journal Title: Semigroup Forum
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!