Marco Abbadini

activity

20172026

most citedOperations that preserve integrability, and truncated Riesz spaces

2 citations · 4 across the 11 of their papers we have counts for

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3 papers · 1 filter

math.GN2023

Vietoris endofunctor for closed relations and its de Vries dual

Marco Abbadini, Guram Bezhanishvili, Luca Carai

We generalize the classic Vietoris endofunctor to the category of compact Hausdorff spaces and closed relations. The lift of a closed relation is done by generalizing the construct…

math.GN2022

MacNeille completions of subordination algebras

Marco Abbadini, Guram Bezhanishvili, Luca Carai

$S5$ -subordination algebras are a natural generalization of de Vries algebras. Recently it was proved that the category $SubS 5^{S}$ of $S5$ -subordination a…

math.GN2022

A generalization of de Vries duality to closed relations between compact Hausdorff spaces

Marco Abbadini, Guram Bezhanishvili, Luca Carai

Stone duality generalizes to an equivalence between the categories $Stone^{R}$ of Stone spaces and closed relations and $BA^{S}$ of boolean algebr…