Intermediate value property for the Assouad dimension of measures
Suomala, Ville (2020-08-03)
Suomala, Ville
De Gruyter
03.08.2020
Suomala, V. (2020). Intermediate Value Property for the Assouad Dimension of Measures. Analysis and Geometry in Metric Spaces, 8(1), 106–113. https://doi.org/10.1515/agms-2020-0106
https://creativecommons.org/licenses/by/4.0/
© 2020 Ville Suomala, published by De Gruyter. This work is licensed under the Creative Commons Attribution alone 4.0 License.
https://creativecommons.org/licenses/by/4.0/
© 2020 Ville Suomala, published by De Gruyter. This work is licensed under the Creative Commons Attribution alone 4.0 License.
https://creativecommons.org/licenses/by/4.0/
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi-fe2020091569496
https://urn.fi/URN:NBN:fi-fe2020091569496
Tiivistelmä
Abstract
Hare, Mendivil, and Zuberman have recently shown that if \(X \subset \mathbb{R}\) 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.
Kokoelmat
- Avoin saatavuus [31657]