Jafari, Saeid; Noiri, Takashi On strongly \(\theta\)-semi-continuous functions. (English) Zbl 0917.54017 Indian J. Pure Appl. Math. 29, No. 11, 1195-1201 (1998). For \((X,\tau)\) a topological space, a subset \(A\) of \(X\) is said to be semi-open if \(A\subset\text{Cl}(\text{Int}(A))\). The complement of a semi-open set is called semi-closed. The intersection of all semi-closed sets containing \(A\) is called the semi-closure of \(A\) and is denoted by \(\text{sCl} (A)\). In this paper the authors introduce a new class of functions called strongly \(\theta\)-semi-continuous functions. A function \(f:X\to Y\) is said to be strongly \(\theta\)-semicontinuous, if for each \(x\in X\) and each open set \(V\) in \(Y\) containing \(f(x)\) there exists a semi-open set \(U\) in \(X\) containing \(x\) such that \(f(\text{sCl}(U))\subset V\). The authors obtain their characterizations and some of their fundamental properties. Reviewer: V.Popa (Bacau) Cited in 1 ReviewCited in 3 Documents MSC: 54C08 Weak and generalized continuity Keywords:semi-regular; semi-\(\theta\)-open; strongly \(\theta\)-semicontinuous functions; semi-open set PDFBibTeX XMLCite \textit{S. Jafari} and \textit{T. Noiri}, Indian J. Pure Appl. Math. 29, No. 11, 1195--1201 (1998; Zbl 0917.54017)