arXiv:1811.09255 Abstract | arXiv Analytics

arXiv:1811.09255 [math.LO]Abstract References Reviews Resources

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

Published 2018-11-22Version 1

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.

Comments: 10 pages

Categories: math.LO

Keywords: hardy fields, smooth rings, real field, expansions, first model-theoretic connection

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