A DE VRIES-TYPE DUALITY THEOREM FOR THE CATEGORY OF LOCALLY COMPACT
SPACES AND CONTINUOUS MAPS. I Page 1 Acta Math. Hungar., 129 (4) (2010), 314–349 …

We prove a new duality theorem for the category of precontact algebras which implies the
Stone Duality Theorem, its connected version obtained in [10], the recent duality theorems …

In this paper we study the connections between topobooleans [AA Estaji, A. Karimi
Feizabadi, and M. Zarghani, Categ. Gen. Algebr. Struct. Appl. 4 (2016), 75-94] and Boolean …

We define the notions of base and weight for Boolean I-contact algebras. Using base
concept, we present some interesting properties concerning the dense Boolean I-contact …

This thesis is in the field of General Topology. In its title, however, some algebraical notions
are used. I will try to explain why this happens. I will first say some words about the proximity …

In the beginning of the 20th century, AN Whitehead and T. de Laguna proposed a new
theory of space, known as {\em region-based theory of space}. They did not present their …

As proved by Dimov [Acta Math. Hungarica, 129 (2010), 314--349], there exists a duality L
between the category HLC of locally compact Hausdorff spaces and continuous maps, and …

In three recaent papers of G. Dimov, many Stone-type duality theorems for the category of
locally compact Hausdorff spaces and continuous maps and some of its subcategories were …