Order convergence and compactness

2007/05/29 by Dominic van der Zypen, van der Zypen, Dominic
Decision Sciences · Mathematics · #06B15 #06B30 #Advanced Topology and Set Theory #FOS: Mathematics #Fuzzy and Soft Set Theory #Logic (math.LO) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.0705.4270

openalex publication_date 2007/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let (P,≤) be a partially ordered set and let τ be a compact topology on P that is finer than the interval topology. Then τ is contained in the order (convergence) topology on (P,τ). So any Priestley topology is contained in the order topology.

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