1 citations · 1 across the 3 of their papers we have counts for
8 papers
Free bounded archimedean -algebras
Guram Bezhanishvili, Luca Carai, Patrick Morandi
We show that free objects on sets do not exist in the category of bounded archimedean -algebras. On the other hand, we introduce the category of weighted sets and prove…
Specker Algebras: A Survey
Guram Bezhanishvili, Patrick J. Morandi, Bruce Olberding
For a commutative ring with identity, a Specker -algebra is a commutative unital -algebra generated by a Boolean algebra of idempotents, each nonzero element of which is…
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…
Modal operators on rings of continuous functions
Guram Bezhanishvili, Luca Carai, Patrick Morandi
It is a classic result in modal logic that the category of modal algebras is dually equivalent to the category of descriptive frames. The latter are Kripke frames equipped with a S…
The Frame of Nuclei of an Alexandroff Space
Francisco Ávila, Guram Bezhanishvili, Patrick Morandi +1
Let be the frame of open sets of a topological space , and let be the frame of nuclei of . For an Alexandroff space , we prove…
When is the frame of nuclei spatial: A new approach
Francisco Ávila, Guram Bezhanishvili, Patrick Morandi +1
For a frame , let be the Esakia space of . We identify a special subset of consisting of nuclear points of , and prove the following results: is sp…