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Notions of Cauchyness and metastability

机译:Cauchyness和延期性的概念

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摘要

We show that several weakenings of the Cauchy condition are all equivalent under the assumption of countable choice, and investigate to what extent choice is necessary. We also show that the syntactically reminiscent notion of metastability allows similar variations, but is empty in terms of its constructive content.
机译:我们表明,在可数选择的假设下,Cauchy病情的几种弱化都是等同的,并调查必要的选择程度。我们还表明,衡衷的卷发性概念允许类似的变化,但在其建设性内容方面是空的。

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