11 citations · 54 across the 20 of their papers we have counts for
Showing 2022 · math.MGShow all
3 papers · 2 filters
math.MG2022★ 4 cited
Graph comparison meets Alexandrov
Nina Lebedeva, Anton Petrunin
Graph comparison is a certain type of condition on metric space encoded by a finite graph. We show that any nontrivial graph comparison implies one of Alexandrov's comparisons. The…
math.MG2022★ 3 cited
Trees meet octahedron comparison
Nina Lebedeva, Anton Petrunin
We show that trees and their products meet octahedron comparison.
math.MG2022
All-set-homogeneous spaces
Nina Lebedeva, Anton Petrunin
A metric space is said to be all-set-homogeneous if any of its partial isometries can be extended to a genuine isometry. We give a classification of a certain subclass of all-set-h…