11 citations · 54 across the 20 of their papers we have counts for
Showing 2026 · math.MGShow all
2 papers · 2 filters
math.MG2026
Alexandrov Regions
Nina Lebedeva, Artem Nepechiy
We introduce the notion of Alexandrov region. In contrast to Alexandrov spaces these are intrinsic metric spaces, which satisfy a lower curvature bound and have finite Hausdorff di…
math.MG2026
Metric foundations of geometry
Nina Lebedeva, Anton Petrunin
A metric space is called all-set-homogeneous if every isometry between two of its subsets extends to an isometry of the whole space. We classify all-set-homogeneous geodesic spaces…