Metric dimensions and tameness in expansions of the real field-Reference-Cited by-同舟云学术

Metric dimensions and tameness in expansions of the real field

Published:2019-10-18 Issue:2 Volume:373 Page:849-874
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Hieronymi Philipp,Miller Chris

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.

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/2020-373-02/S0002-9947-2019-07691-2/tran7691_AM.pdf

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