论文标题
拓扑产品的奇异促进剂
Singular precalibers for topological products
论文作者
论文摘要
在本文中，我们证明，如果$κ$是一个奇特的红衣主教，则具有不可数量的辅助性，那么带有precaliber $κ$的给定拓扑空间的每个功率也具有Precaliber $κ$。此外，如果$ \ {x_α：α<λ\} $是一个拓扑空间的家族，带有precaliber $κ$和$λ<cf（κ）$，则$κ$是拓扑产品$ \ prod \ prod \ prod \ {x__α：α<λ\} $的precaliber。
In this paper we prove that if $κ$ is a singular cardinal with uncountable cofinality, then every power of a given topological space with precaliber $κ$ has precaliber $κ$ as well. Furthermore, if $\{X_α: α<λ\}$ is a family of topological spaces with precaliber $κ$ and $λ<cf(κ)$, then $κ$ is a precaliber for the topological product $\prod\{X_α: α<λ\}$.
