Abstract
In this lecture, we define and study the so-called Gromov–Hausdorff metric on the isometry classes of compact metric spaces.
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Notes
- 1.
Possibly noncontinuous.
References
P. Assouad. “Plongements lipschitziens dans \({\mathbf {R}}^{n}\)”. Bull. Soc. Math. France 111.4 (1983), 429–448.
J. Heinonen. Lectures on Lipschitz analysis. Vol. 100. Report. University of Jyväskylä Department of Mathematics and Statistics. University of Jyväskylä, Jyväskylä, 2005, \(\mathrm {ii}+77\).
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Petrunin, A. (2023). Space of Spaces. In: Pure Metric Geometry. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-031-39162-0_5
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DOI: https://doi.org/10.1007/978-3-031-39162-0_5
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