P. Morandi

activity

20182026

most citedGelfand-Naimark-Stone duality for normal spaces and insertion theorems

1 citations · 1 across the 9 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.GN2019

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…

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…

math.GN2019★ 1 cited

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 $ℓ$ -algebras. In [4] we extende…