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Showing 2020 · math.MGShow all
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math.MG2020★ 3 cited
Local-to-global Urysohn width estimates
Alexey Balitskiy, Aleksandr Berdnikov
The notion of the Urysohn -width measures to what extent a metric space can be approximated by a -dimensional simplicial complex. We investigate how local Urysohn width bound…
math.MG2020★ 4 cited
A cap covering theorem
Alexandr Polyanskii
A cap of spherical radius on a unit -sphere is the set of points within spherical distance from a given point on the sphere. Let be a finite set of caps…