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20182026
most citedOn Isbell's Density Theorem for bitopological pointfree spaces I

3 citations · 6 across the 6 of their papers we have counts for

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math.GN2026

Maximal d-spectra and locally compact Hausdorff spaces

G. Bezhanishvili, P. Bhattacharjee, S. D. Melzer +1

It is an interesting open problem whether every compact Hausdorff space can be realized as the maximal -spectrum of an arithmetic frame. We approach this problem by generalizing…

math.GN2025★ 3 cited

On Isbell's Density Theorem for bitopological pointfree spaces I

M. Andrew Moshier, Imanol Mozo Carollo, Joanne Walters-Wayland

This paper addresses dense sub-objects for point-free bitopology in terms of -frames and provides several examples. We characterize extremal epimorphisms in -frames and show…

math.GN2024

On Isbell's Density Theorem for bitopological pointfree spaces II

M. Andrew Moshier, Imanol Mozo Carollo, Joanne Walters-Wayland

With the aim of studying subspaces in pointfree bitopology, we characterize extremal epimorphism in biframes and show that a smallest dense one always exists, providing an analogue…

math.GN2024★ 1 cited

Dedekind-MacNeille and related completions: subfitness, regularity, and Booleanness

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

Completions play an important rôle for studying structure by supplying elements that in some sense ``ought to be." Among these, the Dedekind-MacNeille completion is of particular i…

math.GN2024★ 2 cited

Subfitness in distributive (semi)lattices

Guram Bezhanishvili, James Madden, M. Andrew Moshier +2

We investigate whether the set of subfit elements of a distributive semilattice is an ideal. This question was raised by the second author at the BLAST conference in 2022. We show…