G. Bezhanishvili

activity

20232026

most citedDedekind-MacNeille and related completions: subfitness, regularity, and Booleanness

1 citations · 1 across the 10 of their papers we have counts for

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math.LO2026

When is double negation Scott continuous?

Guram Bezhanishvili, Sebastian D. Melzer

Let $L$ be the frame of opens of a $T_{0}$ -space $X$ . We prove that if $X$ is sober and $T_{1}$ , then the double negation nucleus on $L$ is Scott continuous iff $X$ is discrete. It fol…

math.LO2026

A new proof of Funayama's theorem

Guram Bezhanishvili, Wesley H. Holliday

Funayama proved that a lattice embeds into a complete Boolean algebra in such a way that all existing joins and meets are preserved if and only if the lattice satisfies the join-in…

math.LO2024

Degrees of join-distributivity via Bruns-Lakser towers

G. Bezhanishvili, F. Dashiell, M. A. Moshier +1

We utilize the Bruns-Lakser completion to introduce Bruns-Lakser towers of a meet-semilattice. This machinery enables us to develop various hierarchies inside the class of bounded…