Abstract
In this lecture, we define and study Hausdorff metric on subsets of a given metric space.
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References
W. Blaschke. Kreis und Kugel. 1916. \otherlang{russian}{AltText}{\russianfont{Русский перевод: В. Бляшке}}, \otherlang{russian}{AltText}{\russianfont{\textit{Круг и шар}}}(1967).
Z. Frolík. “Concerning topological convergence of sets”. Czechoslovak Math.J 10(85) (1960), 168–180.
F. Hausdorff. Grundzüge der Mengenlehre. 1914. \otherlang{russian}{AltText}{\russianfont{Русский перевод: Ф. Хаусдорф \textit{Теория множеств}}} (1937); English translation F. Hausdorff Set Theory (1957).
R. A. Wijsman. “Convergence of sequences of convex sets, cones and functions. II”. Trans. Amer. Math. Soc. 123 (1966), 32–45.
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Petrunin, A. (2023). Space of Subsets. In: Pure Metric Geometry. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-031-39162-0_4
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DOI: https://doi.org/10.1007/978-3-031-39162-0_4
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