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arXiv · 1811.09255

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

Rodrigo Figueiredo·Hugo Luiz Mariano
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Abstract

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.

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Rodrigo Figueiredo, Hugo Luiz Mariano. 2018-11-22. Remarks on expansions of the real field: tameness, Hardy fields and smooth rings. https://arxiv.org/abs/1811.09255

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