F. 'Avila

activity

20192023

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Showing 2019Show all

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math.GN2019

The Frame of Nuclei of an Alexandroff Space

Francisco Ávila, Guram Bezhanishvili, Patrick Morandi +1

Let $O S$ be the frame of open sets of a topological space $S$ , and let $N (O S)$ be the frame of nuclei of $O S$ . For an Alexandroff space $S$ , we prove…

math.GN2019

When is the frame of nuclei spatial: A new approach

Francisco Ávila, Guram Bezhanishvili, Patrick Morandi +1

For a frame $L$ , let $X_{L}$ be the Esakia space of $L$ . We identify a special subset $Y_{L}$ of $X_{L}$ consisting of nuclear points of $X_{L}$ , and prove the following results: $L$ is sp…