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math.AG2024
Lipschitz normally embedded sets do not need to have Lipschitz normally embedded medial axis
Michał Kosiba
The aim of this paper is to study the Lipschitz normally embedded property for a set and its medial axis. We consider if and when a non-LNE set implies non-LNE medial axis and conv…
math.AG2023
Generalized Łojasiewicz's inequality for definable and subanalytic multifunctions
Michał Kosiba
This paper is devoted to proving the general Łojasiewicz inequality, in both the definable and subanalytic cases, under the most relaxed assumptions. It means that we drop the usua…