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math.GN2019
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…
math.GN2019
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…