Web of Science: Topologically indistinguishable relations and separation axioms
dc.contributor.author | Demiralp, S. | |
dc.contributor.author | Al-shami, T.M. | |
dc.contributor.author | Abushaheen, F.A. | |
dc.contributor.author | El-latif, A.M.A. | |
dc.date.accessioned | 2024-05-21T13:55:14Z | |
dc.date.available | 2024-05-21T13:55:14Z | |
dc.date.issued | 2024.01.01 | |
dc.description.abstract | This study focuses on defining separation axioms for sets without an inherent topological structure. By utilizing a mapping to relate such sets to a topological space, we first define a distinguishable relation over the universal set with respect to the neighborhood systems inspired by a topology of the co-domain set and elucidate its basic properties. To facilitate the way of discovering this distinguishable relation, we initiate a color technique for the equivalence classes inspired by a given topology. Also, we provide an algorithm to determine distinguishable members (or objects) under study. Then, we establish a framework for introducing separation properties within these structureless sets and examine their master characterizations. To better understand the obtained results and relationships, we display some illustrative instances. | |
dc.identifier.doi | 10.3934/math.2024758 | |
dc.identifier.eissn | 2473-6988 | |
dc.identifier.endpage | 15723 | |
dc.identifier.issue | 6 | |
dc.identifier.startpage | 15701 | |
dc.identifier.uri | https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=dspace_ku&SrcAuth=WosAPI&KeyUT=WOS:001219715800001&DestLinkType=FullRecord&DestApp=WOS_CPL | |
dc.identifier.uri | https://hdl.handle.net/20.500.12597/33167 | |
dc.identifier.volume | 9 | |
dc.identifier.wos | 001219715800001 | |
dc.language.iso | en | |
dc.relation.ispartof | AIMS MATHEMATICS | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | fT-topological distinguishability | |
dc.subject | equivalence relation | |
dc.subject | separation axioms | |
dc.title | Topologically indistinguishable relations and separation axioms | |
dc.type | Article | |
dspace.entity.type | Wos |