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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 849-874 |
| Number of pages | 26 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 373 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jan 1 2020 |
Keywords
- Assouad dimension
- Expansion of the real field
- Projective hierarchy
- Topological dimension
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
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Cite this
Hieronymi, P., & Miller, C. (2020). Metric dimensions and tameness in expansions of the real field. Transactions of the American Mathematical Society, 373(2), 849-874. https://doi.org/10.1090/tran/7691