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math.LO2026
When is double negation Scott continuous?
Guram Bezhanishvili, Sebastian D. Melzer
Let be the frame of opens of a -space . We prove that if is sober and , then the double negation nucleus on is Scott continuous iff is discrete. It fol…
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.GN2026
A choice-free approach to Wallman compactifications
Sebastian D Melzer, Cerene Rathilal, Ranjitha Raviprakash
The classical Wallman compactification of a -space and the Stone--Čech compactification of a completely regular space rely on choice principles. We show that, by representing…