THE ORDER TOPOLOGY IN PARTIALLY ORDERED SETS

Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application 2026 Open access

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Authors: Francisco Javier García‐Pacheco
DOI: 10.56082/annalsarscimath.2026.1.161
Cited by: 0
References: 7

Abstract

The order topology has been historically defined only for totally ordered sets. Here, the order topology in partially ordered sets will be constructed. Several attempts have been provided in the recent litera-ture on partially ordered groups, rings and modules. This manuscript contains a full construction that provides solid foundational ground to the previous attempts and serves to pay tribute to the topological trajectory of Prof. Ricceri.

Fields of Study & Subjects

Advanced Topology and Set Theory Advanced Algebra and Logic Advanced Combinatorial Mathematics

Publication details

Journal / source
Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application
Volume
18
Issue
1
Pages
161–178
Publication date
1 January 2026
Language
EN