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arXiv 2112.08488math.LOmath.GNmath.GR
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具有极小无穷幂的可数紧群

Countably compact groups having minimal infinite powers

Dikran Dikranjan, Vladimir Uspenskij

摘要:

我们回答的问题,提出了超过30年前,是否权力(G提高到权力欧米茄)的一个可数紧凑的最小阿贝尔群G是最小的,通过显示,否定的答案是等价于存在的可测基数。

英文摘要:

We answer the question, raised more than thirty years ago, on whether the power (G raised to the power omega) of a countably compact minimal Abelian group G is minimal, by showing that the negative answer is equivalent to the existence of measurable 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。

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