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arXiv · 2407.11528

A correspondence between proximity homomorphisms and certain frame maps via a comonad

Ando Razafindrakoto
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Abstract

We exhibit the proximity frames and proximity homomorphisms as a Kleisli category of a comonad whose underlying functor takes a proximity frame to its frame of round ideals. This construction is known in the literature as {\em stable compactification} (\cite{BezHar2}). We show that the frame of round ideals naturally carries with it two proximities of interest from which two comonads are induced.

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Ando Razafindrakoto. 2024-07-16. A correspondence between proximity homomorphisms and certain frame maps via a comonad. https://arxiv.org/abs/2407.11528

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