2 citations · 4 across the 9 of their papers we have counts for
5 papers · 1 filter
A new approach to the Katětov-Tong theorem
Guram Bezhanishvili, Patrick J. Morandi, Bruce Olberding
We give a new proof of the Katětov-Tong theorem. Our strategy is to first prove the theorem for compact Hausdorff spaces, and then extend it to all normal spaces. The key ingredien…
Gelfand-Naimark-Stone duality for normal spaces and insertion theorems
G. Bezhanishvili, P. J. Morandi, B. Olberding
Gelfand-Naimark-Stone duality provides an algebraic counterpart of compact Hausdorff spaces in the form of uniformly complete bounded archimedean -algebras. In [4] we extende…
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…
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…
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…