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Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7691
Abstract: 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.
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Keywords:
real field;
field;
tameness expansions;
metric dimensions ... See more keywords