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.
机构:
Ohio State Univ, Dept Math, 231 West 18th Ave, Columbus, OH 43210 USAOhio State Univ, Dept Math, 231 West 18th Ave, Columbus, OH 43210 USA
Miller, Chris
Speissegger, Patrick
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机构:
McMaster Univ, Dept Math & Stat, 1280 Main St West, Hamilton, ON L8S 4K1, CanadaOhio State Univ, Dept Math, 231 West 18th Ave, Columbus, OH 43210 USA
Speissegger, Patrick
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES,
2020,
63
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: 506
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521