A dichotomy for expansions of the real field

Antongiulio Fornasiero, Philipp Hieronymi, Chris Miller

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)697-698
Number of pages2
JournalProceedings of the American Mathematical Society
Volume141
Issue number2
DOIs
StatePublished - 2013

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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