Intermediate-value property for Assouad dimension by its inversion invariance
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Luukkainen , J 2021 , ' Intermediate-value property for Assouad dimension by its inversion invariance ' , Topology and Its Applications , vol. 297 , 107700 , pp. 1-2 . https://doi.org/10.1016/j.topol.2021.107700
| Title: | Intermediate-value property for Assouad dimension by its inversion invariance |
| Author: | Luukkainen, Jouni |
| Contributor: | University of Helsinki, Department of Mathematics and Statistics |
| Date: | 2021-04-20 |
| Number of pages: | 2 |
| Belongs to series: | Topology and Its Applications |
| ISSN: | 0166-8641 |
| URI: | http://hdl.handle.net/10138/329617 |
| Abstract: | We prove that if Xis a metric space of Assouad dimension s ∈(0, ∞), then for every α ∈[0, s]there is a countable subset ofXof Assouad dimensionα. We reduce this to the special case of boundedXdue to Wang and Wen in 2016 by using the inversion invariance of Assouad dimension. |
| Subject: | 111 Mathematics |
| Rights: |
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