3 citations · 6 across the 6 of their papers we have counts for
7 papers
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…
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…
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…
A Relational Category of Birkhoff Polarities
M. Andrew Moshier
Garret Birkhoff observed that any binary relation between two sets determines a Galois connection between the powersets, or equivalently, closure operators on the powersets, or equ…
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…
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…
Semi De Morgan logic properly displayed
Giuseppe Greco, Fei Liang, M. Andrew Moshier +1
In the present paper, we endow a family of axiomatic extensions of semi De Morgan logic with proper multi-type display calculi which are sound, complete, conservative, and enjoy cu…