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.
"The -Compactness in -Spaces." Abstr. Appl. Anal. 2013 (SI55) 1 - 8, 2013. https://doi.org/10.1155/2013/929178