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arxiv: 1105.2946 · v3 · pith:O4BCQQGCnew · submitted 2011-05-15 · 🧮 math.LO

A dichotomy for expansions of the real field

classification 🧮 math.LO
keywords realdefinabledichotomyexpansionsfieldboundeddensedimension
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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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