ON /-EXTREMALLY DISCONNECTED SPACES

Authors : Aynur KESKİN, Şaziye YÜKSEL, Takashi NOIRI

Pages : 33-40

Doi:10.1501/Commua1_0000000195

View : 15 | Download : 12

Publication Date : 2007-02-01

Article Type : Research Paper

Abstract :Abstract. We have introduced and investigated the notion of I-extremal disconnectedness on ideal topological spaces. First, we found that the notions of extremal disconnectedness and I-extremal disconnectedness are independent of each other. About the letter one, we observed that every open subset of an I-extremally disconnected space is also an I-extremally disconnected space. And also, in extremally disconnectedness spaces we have shown that I-open set is equivalent almost I-open and every -I-open set is preopen. Finally, we have shown that B-I-continuityinsert ignore into journalissuearticles values( resp. pre-I-continuity, I-continuity ); is equivalent to semi-I-continuityinsert ignore into journalissuearticles values( resp. strongly -I-continuity, almost strongly I-continuity ); if the domain is I-exteremally disconnected
Keywords : W eak regular I closed sets, I open sets, I extremally disconnectedspaces, topological ideal