Countable s*-compactness in L-spaces
Author
Yang, Gui-Qin
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/146210.4067/S0716-09172005000300007
Abstract
In this paper, the notions of countable S*-compactness is introduced in L-topological spaces based on the notion of S*-compactness. An S*-compact L-set is countably S*-compact. If L = [0, 1], then countable strong compactness implies countable S*-compactness and countable S*-compactness implies countable F-compactness, but each inverse is not true. The intersection of a countably S*-compact L-set and a closed L-set is countably S*-compact. The continuous image of a countably S*-compact L-set is countably S*-compact. A weakly induced L-space (X, T ) is countably S*-compact if and only if (X, [T ]) is countably compact.