Overview of Császár orders and quasi-uniformities on complete lattices
dc.contributor.author | Bakulikira C, Iragi. | |
dc.date.accessioned | 2025-06-11T11:53:56Z | |
dc.date.available | 2025-06-11T11:53:56Z | |
dc.date.issued | 2025 | |
dc.description.abstract | In this paper we introduce a theory of quasi-uniformities and syntopogenous structures on complete lattices, extending the results from [7] and [5] in a general categorical context. In particular, we show that topogenous orders on a complete lattice encompass both closure and interior operations, and that a syntopogenous structure is a base of a quasi-uniformity. In fact, not only does this paper extend various structures from category theory, but it also demonstrates that these constructs can be studied without relying on (E,M)-factorizations, which have historically been necessary for their study in a categorical setting. In closing, we show that any ⋀-structure of a complete lattice can be used to construct a base of transitive quasi-uniformity on the lattice. © 2025 Elsevier B.V. | |
dc.identifier.citation | Iragi, B.C., 2025. Overview of Császár orders and quasi-uniformities on complete lattices. Topology and its Applications, p.109229. | |
dc.identifier.issn | https://doi.org/10.1016/j.topol.2025.109229 | |
dc.identifier.uri | https://hdl.handle.net/10566/20481 | |
dc.language.iso | en | |
dc.publisher | Elsevier B.V. | |
dc.subject | Closure operator | |
dc.subject | Interior operator | |
dc.subject | Lattice | |
dc.subject | Quasi-uniformity | |
dc.subject | Syntopogenous | |
dc.title | Overview of Császár orders and quasi-uniformities on complete lattices | |
dc.type | Article |
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