On S -cluster sets and S -closed spaces

M. N. Mukherjee and Atasi Debray

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-7

Abstract:

A new type of cluster sets, called S -cluster sets, of functions and multifunctions between topological spaces is introduced, thereby providing a new technique for studying S -closed spaces. The deliberation includes an explicit expression of S -cluster set of a function. As an application, characterizations of Hausdorff and S -closed topological spaces are achieved via such cluster sets.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:276416

DOI: 10.1155/S0161171200001277

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