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math.GN2023
On non-archimedean frames
Francisco Ávila, Miriam Bocardo-Gaspar, Julio Urenda +1
In this investigation, we introduce the class of non-archimedean frames in spirit with the topological notion of non-archimedean spaces. We explore various properties of these fram…
math.GN2019
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…
math.GN2019
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…