ON WEAKLY e-CONTINUOUS FUNCTIONS

Authors : Murad ÖZKOÇ ,  gülhan ASLIM

Pages : 781-791

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Publication Date : 2011-06-01

Article Type : Research Paper

Abstract :The main goal of this paper is to introduce and look into some of the fundamental properties of weakly e-continuous functions defined via eopen sets introduced by E. Ekici insert ignore into journalissuearticles values(On e-open sets, DP∗ -sets and DPE∗ - sets and decompositions of continuity, Arab. J. Sci. Eng. 33 insert ignore into journalissuearticles values(2A);, 269–281, 2008);. Some characterizations and several properties concerning weakly e-continuous functions are obtained. The concept of weak e-continuity is weaker than both the weak continuity introduced by N. Levine insert ignore into journalissuearticles values(A decomposition of continuity in topological spaces, Amer. Math. Monthly 68, 44–46, 1961); and the e-continuity introduced by Ekici, but stronger than weak β-continuity introduced by Popa and Noiri insert ignore into journalissuearticles values(Weakly β-continuous functions, An. Univ. Timis.Ser.Mat.- Inform. 32 insert ignore into journalissuearticles values(2);, 83–92, 1994);. In order to investigate some different properties we introduce the concept of e-strongly closed graphs and also investigate relationships between weak e-continuity and separation axioms, and e-strongly closed graphs and covering properties.
Keywords : Faint e continuity, e T2 space, e strongly closed graph, e Lindel¨of space, Weak e continuity, 2000 AMS Classification 54 C 05