A dichotomy for expansions of the real field is established: Either Z is definable or every nonempty bounded nowhere dense definable subset of R has Minkowski dimension zero.
A dichotomy for expansions of the real field / Fornasiero, Antongiulio; Hieronymi, Philipp; Miller, Chris. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 141:(2013), pp. 697-698. [10.1090/S0002-9939-2012-11369-3]
A dichotomy for expansions of the real field
Fornasiero, Antongiulio;
2013
Abstract
A dichotomy for expansions of the real field is established: Either Z is definable or every nonempty bounded nowhere dense definable subset of R has Minkowski dimension zero.
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