ω的幂的Compactness
Compactness of powers of ω
摘要：
我们精确地刻画了空间ω的κ个拷贝与离散拓扑的乘积的紧性.刻画涉及到一致超滤子、无穷语言和初等扩展中非标准元的存在性。我们也有结果涉及产品的可能不可数经常基数。
英文摘要：
We characterize exactly the compactness properties of the product of κ copies of the space ω with the discrete topology. The characterization involves uniform ultrafilters, infinitary languages, and the existence of nonstandard elements in elementary estensions. We also have results involving products of possibly uncountable regular cardinals.
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。
