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Grätzer-Hofmann-Lawson-Jung-Sünderhauf Duality

Published 23 Feb 2020 in math.GN, math.CT, math.LO, and math.RA | (2002.09873v1)

Abstract: We unify several extensions of the classic Stone duality due to Gr\"atzer, Hoffman-Lawson and Jung-S\"underhauf. Specifically we show that U-bases of locally compact sober spaces are dual to <-distributive v-predomains, where < is a transitive relation representing compact containment.

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