Generalized wclosed sets in biweak structure spaces

Authors

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