论文标题
对称逆向半群的拓扑
Topologies on the symmetric inverse semigroup
论文作者
论文摘要
一组$ x $上的对称反向半群$ i（x）$是$ x $的子集之间的所有部分be的集合，并以代数操作为代数操作。我们研究了$ i（x）$的最小Hausdorff逆半群拓扑。当$ x $可计数时，我们在$ i（x）$上显示一些波兰的Semigroup拓扑。
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 $I(X)$.
