关于半群$\mathscr{C}_{+}(a,b)$和$\mathscr{C}_{-}(a,b)$上有邻接零的局部紧凑移位连续拓扑学

arXiv - MATH - Group Theory Pub Date : 2024-09-05 DOI:arxiv-2409.03490

Oleg Gutik

引用次数: 0

摘要

设 $\mathscr{C}_{+}(p,q)^0$ 和 $\mathscr{C}_{-}(p,q)^0$ 是邻接为零的半群 $\mathscr{C}_{+}(a,b)$ 和 $\mathscr{C}_{-}(a,b)$ 。让我们看看$mathscr{C}_{+}(p,q)^0$和$mathscr{C}_{-}(p,q)^0$这两个半群在拓扑同构之前具有连续多个不同的豪斯多夫局部紧凑移连续原态。

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On locally compact shift-continuous topologies on semigroups $\mathscr{C}_{+}(a,b)$ and $\mathscr{C}_{-}(a,b)$ with adjoined zero

Let $\mathscr{C}_{+}(p,q)^0$ and $\mathscr{C}_{-}(p,q)^0$ be the semigroups $\mathscr{C}_{+}(a,b)$ and $\mathscr{C}_{-}(a,b)$ with the adjoined zero. We show that the semigroups $\mathscr{C}_{+}(p,q)^0$ and $\mathscr{C}_{-}(p,q)^0$ admit continuum many different Hausdorff locally compact shift-continuous topologies up to topological isomorphism.

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arXiv - MATH - Group Theory

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