ON WEAKLY e-CONTINUOUS FUNCTIONS

Yıl 2011, Cilt: 40 Sayı: 6, 781 - 791, 01.06.2011

Murad Özkoç  gülhan Aslım

Öz

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 (On e-open sets, DP∗ -sets and DPE∗ - sets and decompositions of continuity, Arab. J. Sci. Eng. 33 (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 (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 (Weakly β-continuous functions, An. Univ. Timis.Ser.Mat.-
Inform. 32 (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.

Anahtar Kelimeler

Faint e-continuity, e-T2 space, e-strongly closed graph, e-Lindel¨of space, Weak e-continuity, 2000 AMS Classification: 54 C 05

ON WEAKLY e-CONTINUOUS FUNCTIONS

Öz

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