Generalized wclosed sets in biweak structure spaces | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 28, Issue 1, June 2020, Page 1-14 PDF (443.61 K) | ||||
DOI: 10.1186/s42787-020-00084-6 | ||||
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Authors | ||||
H. M. Abu-Donia; Rodyna A. Hosny | ||||
Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt | ||||
Abstract | ||||
As a generalization of the classes of gwclosed (resp. gwopen, sgwclosed) sets in a weak structure space (X,w), the notions of ij-generalized wclosed (resp. ij-generalized wopen, ij-strongly generalized wclosed) sets in a biweak structure space (X,w1,w2) are introduced. In terms of these concepts, new forms of continuous function between biweak spaces are constructed. Additionally, the concepts of ij-wnormal, ij-gwnormal, ij-wT1/2 , and ij-wσ T 1 2 spaces are studied and several characterizations of them are acquired. | ||||
Keywords | ||||
Biweak structures; ij-gwclosed sets; ij-g(w; w)-continuous functions; ij-wnormal spaces | ||||
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