arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1503.03443math.LOmath.GNmath.OA
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伪弧是一个共存闭连续统

The pseudoarc is a co-existentially closed continuum

Christopher J. Eagle, Isaac Goldbring, Alessandro Vignati

摘要:

通过对P.Bankston的一个问题的讨论,我们证明了伪弧是一个共存闭连续统。我们还表明,$C(X)$,为$X$一个非退化连续,永远不能有量词消除,回答了一个问题的第一和第三命名的作者和法拉和Kirchberg。

英文摘要:

Answering a question of P. Bankston, we show that the pseudoarc is a co-existentially closed continuum. We also show that $C(X)$, for $X$ a nondegenerate continuum, can never have quantifier elimination, answering a question of the the first and third named authors and Farah and Kirchberg.

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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