论文标题
逆向半群的覆盖范围
Coverages on Inverse Semigroups
论文作者
论文摘要
首先，我们对反向半群的覆盖范围进行定义，该覆盖范围比劳森和伦茨的覆盖范围要弱，这概括了约翰斯通给予的半层次上的覆盖范围的定义。鉴于这样的覆盖范围，我们证明存在一种普遍存在的伪群，它的意义是它将封面 - 粘合式图像转换为依从性pseudogroup pseudogroup同构同构。然后，我们展示了如何从假群上的核转变为相应类型类型的拓扑组嵌入。最后，我们应用了发现的结果来研究Exel的紧密过滤器和紧密组素的概念。
First we give a definition of a coverage on a inverse semigroup that is weaker than the one gave by a Lawson and Lenz and that generalizes the definition of a coverage on a semilattice given by Johnstone. Given such a coverage, we prove that there exists a pseudogroup that is universal in the sense that it transforms cover-to-join idempotent-pure maps into idempotent-pure pseudogroup homomorphisms. Then, we show how to go from a nucleus on a pseudogroup to a topological groupoid embedding of the corresponding groupoids. Finally, we apply the results found to study Exel's notions of tight filters and tight groupoids.
