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math.GN2018
A generalization of Gelfand-Naimark-Stone duality to completely regular spaces
Guram Bezhanishvili, Patrick J. Morandi, Bruce Olberding
Gelfand-Naimark-Stone duality establishes a dual equivalence between the category of compact Hausdorff spaces and the category of un…
math.GN2018
De Vries duality for normal spaces and locally compact Hausdorff spaces
Guram Bezhanishvili, Patrick J. Morandi, Bruce Olberding
By de Vries duality, the category of compact Hausdorff spaces is dually equivalent to the category of de Vries algebras. In our recent article, we have extended de Vries duality to…
math.GN2018
De Vries duality for compactifications and completely regular spaces
Guram Bezhanishvili, Patrick J. Morandi, Bruce Olberding
De Vries duality yields a dual equivalence between the category of compact Hausdorff spaces and a category of complete Boolean algebras with a proximity relation on them, known as…