Intermediate Value Property for the Assouad Dimension of Measures
Suomala Ville
Analysis and Geometry in Metric Spaces · 2020
doi:10.1515/agms-2020-0106 (opens in a new tab)
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Abstract
Hare, Mendivil, and Zuberman have recently shown that if X ⊂ ℝ is compact and of non-zero Assouad dimension dim A X , then for all s > dim A X , X supports measures with Assouad dimension s . We generalize this result to arbitrary complete metric spaces.
Abstract licence: CC BY
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