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 …

Extending the Stone Duality Theorem, we prove two duality theorems for the category ZHaus
of zero-dimensional Hausdorff spaces and continuous maps. Both of them imply easily the …

Using our results from [4], we present a new proof of the extension of the Stone duality
theorem to the category BooleSp of zero-dimensional locally compact Hausdorff spaces …

Applying a general categorical construction for the extension of dualities, we present a new
proof of the Fedorchuk duality between the category of compact Hausdorff spaces with their …

Propounding a general categorical framework for the extension of dualities, we present a
new proof of the de Vries Duality Theorem for the category KHaus of compact Hausdorff …

Generalizing a theorem of Ph. Dwinger (1961)[7], we describe the partially ordered set of all
(up to equivalence) zero-dimensional locally compact Hausdorff extensions of a zero …

In [G. Dimov and E. Ivanova-Dimova, Two extensions of the Stone Duality to the category of
zero-dimensional Hausdorff spaces, arXiv: 1901.04537 v4, 1--33], extending the Stone …

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 …

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 …

A dual equivalence often arises as the restriction of a dual adjunction to its fixed
subcategories, given by those objects for which the adjunction units and co-units are …