Song, Yan-Kui(Universitat Politècnica de València, 2009-04-01)
[EN] A space X is discretely absolutely star-Lindelöf if for every open cover U of X and every dense subset D of X, there exists a countable subset F of D such that F is discrete closed in X and St(F, U) = X, where St(F, ...
Song, Yan-Kui(Universitat Politècnica de València, 2007-10-01)
[EN] We introduce two new notions of topological spaces called a countably starcompact space and a countably absolutely countably compact (= countably acc) space. We clarify the relations between these spaces and other ...
Song, Yan-Kui(Universitat Politècnica de València, 2006-04-01)
[EN] A space X has the property (wa) (or is a space with the property (wa)) if for every open cover U of X and every dense subspace D of X, there exists a discrete subspace F C D such that St(F, U) = X. In this paper, we ...
Song, Yan-Kui(Universitat Politècnica de València, 2008-10-01)
[EN] A space X is σ-starcompact if for every open cover U of X, there exists a σ-compact subset C of X such that St(C, U) = X. We investigate the relations between σ-starcompact spaces and other related spaces, and also ...