Hofmann-Lawson duality for locally small spaces
Artur Pi\k{e}kosz
TL;DR
This paper establishes duality theorems, including spectral adjunction, Stone-type duality, and Hofmann-Lawson duality, specifically for locally small spaces with bounded continuous maps, expanding the theoretical framework of topological dualities.
Contribution
It introduces versions of spectral adjunction, Stone-type duality, and Hofmann-Lawson duality tailored for locally small spaces with bounded continuous mappings, extending existing duality theories.
Findings
Proves spectral adjunction for locally small spaces.
Establishes Stone-type duality in this context.
Demonstrates Hofmann-Lawson duality for bounded continuous maps.
Abstract
We prove versions of the spectral adjunction, a Stone-type duality and Hofmann-Lawson duality for locally small spaces with bounded continuous mappings.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Advanced Topology and Set Theory · Advanced Banach Space Theory