The -Compactness in -Spaces

Shui-Li Chen and Jin-Lan Huang

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

The concepts of -remote neighborhood family, -cover, and -compactness are defined in -spaces. The characterizations of -compactness are systematically discussed. Some important properties of -compactness such as -closed heredity, arbitrarily multiplicative property, and preserving invariance under -continuous mappings are obtained. Finally, the Alexander -subbase lemma and the Tychonoff product theorem with respect to -compactness are given.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:929178

DOI: 10.1155/2013/929178

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