Abstract
We unify several extensions of the classic Stone duality due to Grätzer, Hofmann–Lawson and Jung–Sünderhauf. Specifically, we show that \(\cup \)-bases of locally compact sober spaces are dual to \(\prec \)-distributive \(\vee \)-predomains, where \(\prec \) is a relation representing compact containment.
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Communicated by Presented by A. Dow.
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The author is supported by the GAČR project EXPRO 20-31529X and RVO: 67985840 at the Institute of Mathematics of the Czech Academy of Sciences in Prague, Czech Republic.
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Bice, T. Grätzer–Hofmann–Lawson–Jung–Sünderhauf duality. Algebra Univers. 82, 35 (2021). https://doi.org/10.1007/s00012-021-00729-2
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DOI: https://doi.org/10.1007/s00012-021-00729-2