Generalized superconnectedness

Subject Areas : History and biography

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

Received: 2015-08-01 Accepted : 2016-02-20 Published : 2015-12-01

Keywords: Generalized topology, connected, Superconnected,

Abstract :

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.

References:

[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.