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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… Click to show full 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.
Keywords:
real field;
field;
tameness expansions;
metric dimensions;
expansions real;
dimensions tameness
Journal Title: Transactions of the American Mathematical Society
Year Published: 2019
Link to full text (if available)
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Journal Title: Transactions of the American Mathematical Society
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!