p-Closed Topological Spaces in Terms of Grills

Authors : M. N. MUKHERJEE, B. ROY

Pages : 147-154

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Publication Date : 2006-02-01

Article Type : Research Paper

Abstract :The concept of p-closedness, a kind of covering property for topological spaces, has already been studied with meticulous care from different angles and via different approaches. In this paper, we continue the said investigation in terms of a different concept viz. grills. The deliberations in the article include certain characterizations and a few necessary conditions for the p-closedness of a space, the latter conditions are also shown to be equivalent to p-closedness in a pre-almost regular space.All these and the associated discussions and results are done with grills as the prime supporting tool.
Keywords : Preopen set, Preclosure, Preconvergence, Grill, , p closed space, 2000 AMS Classification 54 D 20