Abstract Let A and B be two subspaces of an ordinal. It is proved that the product A × B is countably paracompact if and only if for every regular uncountable cardinal κ and for every closed rectangle A ′ × B ′ in A × B , either A ′ or B ′ contains a closed discrete subset of size κ whenever so does A ′ × B ′ . This characterization of the countably paracompact products of ordinals is much simpler than the previous one given in 1992.

中文翻译：

---

序数积的可数超紧性的表征

Abstract 令A和B是一个序数的两个子空间。证明乘积 A × B 是可数超紧的当且仅当对于 A × B 中的每个规则不可数基数 κ 和每个闭合矩形 A ′ × B ′ ， A ′ 或 B ′ 包含大小的闭合离散子集κ 每当 A ′ × B ′ 如此。序数的可数超紧积的这种表征比 1992 年给出的前一个要简单得多。