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Extensions of the Stone Duality to the category BooleSp
Georgi Dimov, Elza Ivanova-Dimova
In [G. Dimov and E. Ivanova-Dimova, Two extensions of the Stone Duality to the category of zero-dimensional Hausdorff spaces, arXiv:1901.04537v4, 1--33], extending the Stone Dualit…
Categorical Extension of Dualities: From Stone to de Vries and Beyond, I
G. Dimov, E. Ivanova-Dimova, W. Tholen
Propounding a general categorical framework for the extension of dualities, we present a new proof of the de Vries Duality Theorem for the category of compact Hausdorff…
Two extensions of the Stone Duality to the category of zero-dimensional Hausdorff spaces
Georgi Dimov, Elza Ivanova-Dimova
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 Ta…
On dimension and weight of a local contact algebra
G. Dimov, E. Ivanova-Dimova, I. Duentsch
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 the…
A Generalization of the Stone Duality Theorem
G. Dimov, E. Ivanova-Dimova, D. Vakarelov
We prove a new duality theorem for the category of precontact algebras which implies the Stone Duality Theorem, its connected version obtained in arXiv:1508.02220v3, 1-44 (to appea…