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arXiv 1811.09255math.LO
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实域展开式的注记:驯服性、Hardy域与光滑环

Remarks on expansions of the real field: tameness, Hardy fields and smooth rings

Rodrigo Figueiredo, Hugo Luiz Mariano

摘要:

在里约热内卢ICM-2018的逻辑和基础部分上发表的演讲\cite{vandendries-matthias-}中,作者从模型论的角度分析了通过无穷小和无穷大量丰富真实连续统的三种方法。在目前的工作中,我们提出了第一个模型理论连接的另一个(但与前一个)三重结构:O-最小结构,Hardy场和光滑环。

英文摘要:

In the talk \cite{vandendries-matthias-} presented at Logic and Foundations section of ICM-2018, Rio de Janeiro, the authors analyze, under a model-theoretic perspective, three ways to enrich the real continuum by infinitesimal and infinite quantities. In the present work, we present a first model-theoretic connection of another (but related to the previous one) triple of structures: o-minimal structures, Hardy fields and smooth rings.

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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