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math.GN2025
Priestley perspective on pointfree topology
Guram Bezhanishvili, Sebastian D. Melzer
Priestley duality has diverse applications in various branches of mathematics. In this survey, we discuss its usefulness in pointfree topology. This is done by providing Priestley…
math.GN2025
Local compactness does not always imply spatiality
G. Bezhanishvili, S. D. Melzer, R. Raviprakash +1
It is a well-known result in pointfree topology that every locally compact frame is spatial. Whether this result extends to MT-algebras (McKinsey-Tarski algebras) was an open probl…
math.GN2025
Maximal -spectra via Priestley duality
G. Bezhanishvili, P. Bhattacharjee, S. D. Melzer
We use Priestley duality as a new tool to study maximal -spectra of arithmetic frames, both with and without units. We pay special attention to when the maximal -spectrum is…