3 papers
math.AC2026
Generalizing Gelfand duality to Nachbin spaces
G. Bezhanishvili, P. J. Morandi
We introduce the notion of a Nachbin proximity on a bounded archimedean -algebra (bal-algebra). We prove that Gelfand duality lifts to yield a dual equivalence between the ca…
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…
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…