aDepartment of Mathematics, Dong-A University, 840 Hadan 2-Dong, Saha-Gu, Pusan 604-714, South Korea
bDivision of Mathematical Sciences, Pukyong National University, 599-1 Daeyeon 3-Dong, Nam-Gu, Pusan 608-737, South Korea
Abstract:
We introduce a new class of functions called weakly clopen function which includes the class of almost clopen functions due to Ekici Ekici E. Generalization of perfectly continuous, regular set-connected and clopen functions. Acta Math Hungar 2005;107:193–206] and is included in the class of weakly continuous functions due to Levine Levine N. A decomposition of continuity in topological spaces. Am Math Mon 1961;68:44–6]. Some characterizations and several properties concerning weakly clopenness are obtained. Furthermore, relationships among weak clopenness, almost clopenness, clopenness and weak continuity are investigated.