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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 2, Pages 153–156
(Mi fpm1506)
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This article is cited in 3 scientific papers (total in 3 papers)
An open family of sets that have several minimal fillings
Z. N. Ovsyannikov M. V. Lomonosov Moscow State University, Moscow, Russia
Abstract:
Minimal fillings of $n$-point metric spaces were introduced by Ivanov and Tuzhilin. It was thought that “for almost all sets” in some sense such a filling is unique. Here we introduce a counterexample to this hypothesis.
Citation:
Z. N. Ovsyannikov, “An open family of sets that have several minimal fillings”, Fundam. Prikl. Mat., 18:2 (2013), 153–156; J. Math. Sci., 203:6 (2014), 855–857
Linking options:
https://www.mathnet.ru/eng/fpm1506 https://www.mathnet.ru/eng/fpm/v18/i2/p153
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Abstract page: | 306 | Full-text PDF : | 104 | References: | 47 | First page: | 1 |
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