In this paper, we present recent results in the region-based theory of space that concern
algebras of regions, the corresponding topological and discrete models, and representation …

Modal Logics for Region-based Theories of Space Introduction Page 1 Fundamenta Informaticae
81 (2007) 29–82 29 IOS Press Modal Logics for Region-based Theories of Space Philippe …

By de Vries duality, the category of compact Hausdorff spaces is dually equivalent to the
category of de Vries algebras (complete Boolean algebras endowed with a proximity-like …

This chapter focuses on the topological and mereological relations, contact, and parthood,
between spatio-temporal regions as axiomatized in so-called mereotopologies. Despite, or …

Say that space is 'gunky'if every part of space has a proper part. Traditional theories of gunk,
dating back to the work of Whitehead in the early part of last century, modeled space in the …

We prove an algebraic canonicity theorem for normal LE-logics of arbitrary signature, in a
generalized setting in which the non-lattice connectives are interpreted as operations …

Stone duality generalizes to an equivalence between the categories Stone R of Stone
spaces and closed relations and BA S of boolean algebras and subordination relations …

We further develop the algebraic approach to input/output logic initiated in\cite {wollic22},
where subordination algebras and a family of their generalizations were proposed as a …

M. ABBADINI, ET AL. SUBORDINATION ALGEBRAS alence between SubS5S and its full
subcategory consisting of de Vries algebras. We also show that the functor that associates to …

In Boolean algebras the notion of quasi-modal operator is equivalent to the notion of
precontact relation. This equivalence offers a new perspective to study the representation of …