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Generalized superconnectedness | ||
Journal of Linear and Topological Algebra | ||
مقاله 12، دوره 04، شماره 04، اسفند 2015، صفحه 267-273 اصل مقاله (111.67 K) | ||
نوع مقاله: Research Paper | ||
نویسندگان | ||
E. Bouassida1؛ B. Ghanmi2؛ R. Messaoud* 2؛ A. Missaoui1 | ||
1Department of Mathematics, Faculty of Sciences of Sfax, BP 802, 3038 Sfax, Tunisia | ||
2Department of Mathematics, Faculty of Sciences of Gafsa, Zarroug 2112, Tunisia | ||
چکیده | ||
A. Csaszar introduced and extensively studied the notion of generalized open sets. Following Csazar, we introduce a new notion superconnected. The main purpose of this paper is to study generalized superconnected spaces. Various characterizations of generalized superconnected spaces and preservation theorems are discussed. | ||
کلیدواژهها | ||
Generalized topology؛ connected؛ Superconnected | ||
مراجع | ||
[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. | ||
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