Generalized superconnectedness

محورهای موضوعی : History and biography

E. Bouassida ¹ (Department of Mathematics, Faculty of Sciences of Sfax, BP 802, 3038 Sfax, Tunisia)
B. Ghanmi ² (Department of Mathematics, Faculty of Sciences of Gafsa, Zarroug 2112, Tunisia)
R. Messaoud ³ (Department of Mathematics, Faculty of Sciences of Gafsa, Zarroug 2112, Tunisia)
A. Missaoui ⁴ (Department of Mathematics, Faculty of Sciences of Sfax, BP 802, 3038 Sfax, Tunisia)

تاریخ دریافت : 1394/05/10 تاریخ پذیرش : 1394/12/01 تاریخ انتشار : 1394/09/10

کلید واژه: Generalized topology, connected, Superconnected,

چکیده مقاله :

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.

منابع و مأخذ:

[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.