Metric dimensions and tameness in expansions of the real field

DOI10.1090/tran/7691zbMath1480.03027arXiv1510.00964OpenAlexW2964128162MaRDI QIDQ5217853

Philipp Hieronymi, Chris Miller

Publication date: 26 February 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00964

zbMATH Keywords

topological dimensionAssouad dimensionprojective hierarchyexpansion of real field

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Length, area, volume, other geometric measure theory (28A75) Dimension theory in general topology (54F45) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Model theory of ordered structures; o-minimality (03C64)

Related Items (7)

Dimensional coincidence does not imply measure-theoretic tameness ⋮ Coarse dimension and definable sets in expansions of the ordered real vector space ⋮ Fractals and the monadic second order theory of one successor ⋮ Mini-workshop: Topological and differential expansions of o-minimal structures. Abstracts from the mini-workshop held November 27 -- December 3, 2022 ⋮ Stable formulas in ordered structures ⋮ Expansions of the Real Field by Canonical Products ⋮ Expansions of the real field by discrete subgroups of 𝐺𝑙_{𝑛}(ℂ)

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