FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2013, VOLUME 18, NUMBER 2, PAGES 153-156

**An open family of sets that have several minimal fillings**

Z. N. Ovsyannikov

Abstract

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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.

Location: http://mech.math.msu.su/~fpm/eng/k13/k132/k13212h.htm

Last modified: January 7, 2014