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- W3090113576 abstract "First we give a definition of a coverage on an inverse semigroup that is weaker than the one given by 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.
- W3090113576 created "2020-10-08" @default.
- W3090113576 creator A5015342874 @default.
- W3090113576 date "2020-09-30" @default.
- W3090113576 modified "2023-10-16" @default.
- W3090113576 title "Coverages on inverse semigroups" @default.
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- W3090113576 doi "https://doi.org/10.1007/s00233-020-10134-1" @default.
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