Abu-Donia, H., Hosny, R. (2020). Generalized wclosed sets in biweak structure spaces. test, 28(1), 1-14. doi: 10.1186/s42787-020-00084-6
H. M. Abu-Donia; Rodyna A. Hosny. "Generalized wclosed sets in biweak structure spaces". test, 28, 1, 2020, 1-14. doi: 10.1186/s42787-020-00084-6
Abu-Donia, H., Hosny, R. (2020). 'Generalized wclosed sets in biweak structure spaces', test, 28(1), pp. 1-14. doi: 10.1186/s42787-020-00084-6
Abu-Donia, H., Hosny, R. Generalized wclosed sets in biweak structure spaces. test, 2020; 28(1): 1-14. doi: 10.1186/s42787-020-00084-6

Generalized wclosed sets in biweak structure spaces

Journal of the Egyptian Mathematical Society
Volume 28, Issue 1, June 2020, Pages 1-14    PDF (443.61 K)
DOI: 10.1186/s42787-020-00084-6
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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