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Preprint Number 328

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328. Antongiulio Fornasiero, Philipp Hieronymi, and Chris Miller
A dichotomy for expansions of the real field
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Submission date: 17May 2011.

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.

Mathematics Subject Classification: 03C64, 05B10, 28A75

Keywords and phrases:

Full text arXiv 1105.2946: pdf, ps.


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