Connected and Hyperconnected Generalized Topological Spaces

Subject Areas : History and biography

I. Basdouri ¹ , R. Messaoud ² , A. Missaoui ³

1 - Departement de Mathematiques, Faculte des Sciences de Gafsa, Zarroug 2112 Gafsa, Tunisie
2 - Departement de Mathematiques, Faculte des Sciences de Gafsa, Zarroug 2112 Gafsa, Tunisie
3 - Departement de Mathematiques, Faculte des Sciences de Gafsa, Zarroug 2112 Gafsa, Tunisie

Received: 2016-07-09 Accepted : 2016-10-20 Published : 2016-12-01

Keywords: Generalized topology, connected, m-structure, weak structure, g-closed,

Abstract :

A. Csaszar introduced and extensively studied the notion of generalized opensets. Following Csazar, we introduce a new notion hyperconnected. We study some specificproperties about connected and hyperconnected in generalized topological spaces. Finally, wecharacterize the connected component in generalized topological spaces.

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