On Császár structures and pre-nearness on frames

dc.contributor.authorHolgate, David
dc.contributor.authorIragi, Bakulikira
dc.date.accessioned2026-02-05T10:15:12Z
dc.date.available2026-02-05T10:15:12Z
dc.date.issued2026
dc.description.abstractThe aim of this paper is to introduce the concept of semi-Császár structures and investigate their relationship with the well-known notion of pre-nearness structures on frames. More explicitly, we define the category of semi-Császár frames and establish a connection with the category of covering pre-nearness frames. We provide conditions under which semi-Császár structures relate with pre-uniformities on frames. Finally, we present a frame counterpart to the relationship between symmetric syntopogenous structures and nearness spaces as established by Herrlich (Gen Topol Appl 4(3):191–212, 1974).
dc.identifier.citationHolgate, D. and Iragi, B., 2026. On Császár structures and pre-nearness on frames. Afrika Matematika, 37(1), p.6.
dc.identifier.urihttps://doi.org/10.1007/s13370-025-01403-9
dc.identifier.urihttps://hdl.handle.net/10566/21895
dc.language.isoen
dc.publisherSpringer Science and Business Media Deutschland GmbH
dc.subjectClosure operation
dc.subjectCsászár structure
dc.subjectInterior operation
dc.subjectPre-nearness frame
dc.subjectTopogenous order
dc.titleOn Császár structures and pre-nearness on frames
dc.typeArticle

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