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math.MG2021★ 7 cited
Lipschitz clustering in metric spaces
Leonid V. Kovalev
In this paper, the Lipschitz clustering property of a metric space refers to the existence of Lipschitz retractions between its finite subset spaces. Obstructions to this property…
math.CV2021
Continuity of logarithmic capacity
Sergei Kalmykov, Leonid V. Kovalev
We prove the continuity of logarithmic capacity under Hausdorff convergence of uniformly perfect planar sets. The continuity holds when the Hausdorff distance to the limit set tend…