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arXiv · 1105.2946

A dichotomy for expansions of the real field

Antongiulio Fornasiero·Philipp Hieronymi·Chris Miller
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Abstract

A dichotomy for expansions of the real field is established: Either the set of integers is definable or every nonempty bounded nowhere dense definable subset of the real numbers has Minkowski dimension zero.

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Antongiulio Fornasiero, Philipp Hieronymi, Chris Miller. 2011-05-15. A dichotomy for expansions of the real field. https://arxiv.org/abs/1105.2946

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