Generalized superconnectedness
الموضوعات :E. Bouassida 1 , B. Ghanmi 2 , R. Messaoud 3 , A. Missaoui 4
1 - Department of Mathematics, Faculty of Sciences of Sfax, BP 802, 3038 Sfax, Tunisia
2 - Department of Mathematics, Faculty of Sciences of Gafsa, Zarroug 2112, Tunisia
3 - Department of Mathematics, Faculty of Sciences of Gafsa, Zarroug 2112, Tunisia
4 - Department of Mathematics, Faculty of Sciences of Sfax, BP 802, 3038 Sfax, Tunisia
الکلمات المفتاحية: Generalized topology, connected, Superconnected,
ملخص المقالة :
A. Csaszar introduced and extensively studied the notionof generalized open sets. Following Csazar, we introduce a new notionsuperconnected. The main purpose of this paper is to study generalizedsuperconnected spaces. Various characterizations of generalized superconnected spaces and preservation theorems are discussed.
[1] A. Csaszar, Generalized topology, generalized continuity, Acta math. Hungar. 96 (2002), 351-357.
[2] A. Csaszar, Separation axioms for generalized topologies, Acta math. Hungar. 104 (2004), 63-69.
[3] A. Csaszar, Generalized open sets in generalized topologies, Acta math. Hungar. 106 (2005), 53-66.
[4] A. Csaszar, δ-and θ-modifications of generalized topologies, Acta math. Hungar. 120 (2008), 275-279.
[5] W. K. Min, Some results on generalized topological spaces and generalized systems, Acta math. Hungar. 108 (2005), 171-181.
[6] R. X. Shen, A note on generalized connectedness, Acta math. Hungar. 122 (2009), 231-235.
[7] E. EKICI, Generalized hyperconnectedness, Acta math. Hungar. 133 (1-2), (2011), 140-147.