PREOPEN SETS IN BISPACES

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Abstract

The notion of preopen sets and precontinuity in a topological space was introduced by Mashhour et. al in 1982 [13]. Later the same was studied in a bitopological space in [7] and [9]. Here we have studied the idea of pairwise preopen sets (semi preopen) and pairwise precontinuity (semi precontinuity) in a more general structure of a bispace and investigate how far several results as valid in a bitopological space are affected in a bispace.

Keywords and Phrases

Bispace, preopen sets, pairwise preopen sets, semi preopen sets, pairwise semi preopen sets, precontinuity, semi precontinuity.

A.M.S. subject classification

54A05, 54E55, 54E99.

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