α -fuzzy compactness in I -topological spaces

Valentín Gregori and Hans-peter A. Künzi

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-9

Abstract:

Using a gradation of openness in a (Chang fuzzy) I -topological space, we introduce degrees of compactness that we call α -fuzzy compactness (where α belongs to the unit interval), so extending the concept of compactness due to C. L. Chang. We obtain a Baire category theorem for α -locally compact spaces and construct a one-point α -fuzzy compactification of an I -topological space.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:476231

DOI: 10.1155/S0161171203204233

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