Bitopological S-Cluster Sets

Year 2009, Volume: 38 Issue: 2, 145 - 151, 01.02.2009

S.m. Al-areefi

Abstract

Bitopological S-Cluster Sets

Abstract

A new type of cluster set called an S-cluster set of functions and multifunctions between bitopological spaces has been introduced. Expressions and conditions for the degeneracy of such sets are also found. As an application, characterizations of Hausdorff and S-closed bitopological spaces are achieved via such cluster sets.

Keywords

Bitopological spaces, ij - S-cluster sets, ij-semi open sets, ij - S-closed spaces

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