Abstract
We study the Hausdorff and packing measures of typical compact metric spaces belonging to the Gromov–Hausdorff space (of all compact metric spaces) equipped with the Gromov–Hausdorff metric.
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Acknowledgements
The authors thank K. Rekvényi and L. Stott for useful discussions while writing this paper.
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Jurina, S., MacGregor, N., Mitchell, A. et al. On the Hausdorff and packing measures of typical compact metric spaces. Aequat. Math. 92, 709–735 (2018). https://doi.org/10.1007/s00010-018-0548-5
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DOI: https://doi.org/10.1007/s00010-018-0548-5
Keywords
- Box dimension
- Compact metric space
- The Gromov–Hausdorff metric
- Hewitt–Stromberg measure Hausdorff measure
- Packing measure