Article
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Esakia Duality for Heyting Small Spaces
Version 1
: Received: 2 November 2022 / Approved: 3 November 2022 / Online: 3 November 2022 (08:39:44 CET)
A peer-reviewed article of this Preprint also exists.
Piękosz, A. Esakia Duality for Heyting Small Spaces. Symmetry 2022, 14, 2567. Piękosz, A. Esakia Duality for Heyting Small Spaces. Symmetry 2022, 14, 2567.
Abstract
We develop the theory of Heyting small spaces and prove a new version of Esakia duality for such spaces. To do this, we notice that spectral spaces may be seen as sober small spaces with all smops compact and introduce the method of the standard spectralification. This helps to understand open continuous definable mappings between definable spaces over o-minimal structures.
Keywords
Esakia duality; small space; spectral space; Heyting algebra
Subject
Computer Science and Mathematics, Geometry and Topology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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