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math.DG2015
Analytic Deformations of Minimal Networks
Alexander Ivanov, Alexey Tuzhilin
A behavior of extreme networks under deformations of their boundary sets is investigated. It is shown that analyticity of a deformation of boundary set guarantees preservation of t…
math.MG2015★ 18 cited
The Gromov-Hausdorff Metric on the Space of Compact Metric Spaces is Strictly Intrinsic
Alexandr Ivanov, Nadezhda Nikolaeva, Alexey Tuzhilin
It is proved that the Gromov-Hausdorff metric on the space of compact metric spaces considered up to an isometry is strictly intrinsic, i.e., the corresponding metric space is geod…