On Semi Strong and Semi Weak Sets in Topological Spaces
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Abstract
We invest.igate the conc.ept of semi-.strong (s-s.trong) and semi.-weak (s-.weak) sets in topolo.gical spa.ces. We beg.in by giv.ing defini.tions, some exam.ples and fundam.ental characte.ristics for the two sor.ts of sets. The two sets are contr.asted, and the.ir lin.ks are descr.ibed and stud.ied. In addi.tion, a cla.ss of funct.ions usi.ng semi str.ong and semi weak sets has been discov.ered in topological spa.ces. Additi.onally, s-st.rong and s-w.eak sets are indepe.ndent and can.not ever be compa.rable.
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