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Preprint Number 938
938. Philipp Hieronymi, Chris Miller
Metric dimensions and tameness in expansions of the real field
Submission date: 4 October 2015.
For first-order expansions of the field of real numbers, nondefinability of the set of natural numbers is equivalent to equality of topological and Assouad dimension on images of closed definable sets under definable continuous maps.
Mathematics Subject Classification: Primary 03C64, Secondary 03E15, 28A05, 28A75, 54F45, 54H05
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