Strong B-I-sets and a decomposition of continuity via idealization

Keskin, ANoiri, TYuksel, S2020-03-262020-03-2620050236-5294https://hdl.handle.net/20.500.12395/19884We introduce the notions of Q(I)-sets and strong B-I-sets. Then we investigate properties of strong BI-sets. Additionally, we obtain a new decomposition of continuity via idealization by using strong B-I-sets. Consequently, we extend a decomposition theorem of Dontchev [5] in terms of ideals.eninfo:eu-repo/semantics/openAccessdecomposition of continuitytopological idealQ-setstrong B-setstrong B-I-setQ(I)-setstrongly B-I-continuousStrong B-I-sets and a decomposition of continuity via idealizationArticle10701.02.2020109117WOS:000227850200010Q4