Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 153-156
Citer cet article
Z. N. Ovsyannikov. An open family of sets that have several minimal fillings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 153-156. http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a11/
@article{FPM_2013_18_2_a11,
author = {Z. N. Ovsyannikov},
title = {An open family of sets that have several minimal fillings},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {153--156},
year = {2013},
volume = {18},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a11/}
}
TY - JOUR
AU - Z. N. Ovsyannikov
TI - An open family of sets that have several minimal fillings
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2013
SP - 153
EP - 156
VL - 18
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a11/
LA - ru
ID - FPM_2013_18_2_a11
ER -
%0 Journal Article
%A Z. N. Ovsyannikov
%T An open family of sets that have several minimal fillings
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2013
%P 153-156
%V 18
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a11/
%G ru
%F FPM_2013_18_2_a11
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.
