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arXiv 1709.04824math.LO
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均匀性谱

Spectra of uniformity

Yair Hayut, Asaf Karagila

摘要:

研究了在没有选择选择公理的序数上一致超滤子的一些限制和可能出现的情形。我们证明了一个类似于埃克塞特定理的可能频谱的继任者进行均匀超滤的经常基数,我们还表明,这个频谱不一定是封闭的。

英文摘要:

We study some limitations and possible occurrences of uniform ultrafilters on ordinals without the axiom of choice. We prove an Easton-like theorem about the possible spectrum of successors of regular cardinals which carry uniform ultrafilters; we also show that this spectrum is not necessarily closed.

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。

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