拓扑积的奇异预校准
Singular precalibers for topological products
摘要：
本文证明了：如果$κ$是具有不可数共尾性的奇异基数，则具有预基数$κ$的拓扑空间的每个幂也具有预基数$κ$.此外，如果$\{X_α: α<λ\}$是具有预校准器$κ$和$λ<cf(κ)$的拓扑空间族，则$κ$是拓扑积$\prod\{X_α: α<λ\}$的预校准器。
英文摘要：
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 $\prod\{X_α: α<λ\}$.
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