$ω^λ$的Compactness，用于$λ$单数
Compactness of $ω^λ$ for $λ$ singular
摘要：
利用正则超滤子、一致超滤子、无穷语言和非标准元，刻画了空间ω的λ副本与离散拓扑乘积的紧性，特别是λ奇异的情形.我们还讨论了不可数正则基数与序拓扑的乘积。
英文摘要：
We characterize the compactness properties of the product of λ copies of the space ω with the discrete topology, dealing in particular with the case λ singular, using regular and uniform ultrafilters, infinitary languages and nonstandard elements. We also deal with products of uncountable regular cardinals with the order topology.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
