REMARKS ON CS-STARCOMPACT SPACES
摘要
A space X is cs-starcompact if for every open cover <TEX>$\mathcal{U}$</TEX> of X, there exists a convergent sequence S of X such that St(S, <TEX>$\mathcal{U}$</TEX>) = X, where <TEX>$St(S,\mathcal{U})\;=\; \cup\{U{\in}\mathcal{U}:U{\cap}S{\neq}\phi\}$</TEX>. In this paper, we prove the following statements: (1) There exists a Tychonoff cs-starcompact space having a regular-closed subset which is not cs-starcompact; (2) There exists a Hausdorff cs-starcompact space with arbitrary large extent; (3) Every Hausdorff centered-Lindel<TEX>$\ddot{o}$</TEX>f space can be embedded in a Hausdorff cs-starcompact space as a closed subspace.
引用本文（GB/T 7714）
Yan-Kui Song. REMARKS ON CS-STARCOMPACT SPACES[J]. Communications of the Korean Mathematical Society, 2012.
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