p-Closed Topological Spaces in Terms of Grills

Year 2006, Volume: 35 Issue: 2, 147 - 154, 01.02.2006

M. N. Mukherjee B. Roy

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

p-CLOSED TOPOLOGICAL SPACES IN TERMS OF GRILLS

Abstract

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