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- W4287777196 abstract "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." @default.
- W4287777196 created "2022-07-26" @default.
- W4287777196 creator A5015342874 @default.
- W4287777196 date "2020-05-18" @default.
- W4287777196 modified "2023-09-24" @default.
- W4287777196 title "Coverages on Inverse Semigroups" @default.
- W4287777196 doi "https://doi.org/10.48550/arxiv.2005.08714" @default.
- W4287777196 hasPublicationYear "2020" @default.
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