Connectedness in Ditopological Texture Spaces Via Idea

Authors : O. A. El-tantawy, S. A. El-sheikh, M. Yakout, A. M. Abd El-latif

Pages : 38-49

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Publication Date : 2015-01-01

Article Type : Research

Abstract :− The main purpose of this paper, is to introduce the notion of ditopological texturespaces with ideal. We study the notions of ?-connected ditopological texture spaces with an idealand ?-connected sets in ditopological texture spaces with ideal. Some new types of connectedness in?-ditopological texture spaces namely, locally ?-connectedness, totally ?-disconnectedness, hyperconnectedness and ?-hyperconnectedness have investigated
Keywords : − Texturing, Texture space, Bitopology, Ditopology, Connectedness, ?-connected sets, Ditopological texture spaces with ideal, ?-ditopological texture spaces, ?-separated sets, ?-connectedness, ?-component, Locally ?-connectedness, Totally ?-disconnectedne