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math.MG2024
The Complement of a Closed Set Satisfying the Extended Exterior Sphere Condition
Chadi Nour, Jean Takche
We provide a novel analytical proof of an improved version of [10, Theorem 3.1], showing that the complement of a closed set satisfying the extended exterior sphere condition is no…
math.MG2024
The Variable Radius Form of the Extended Exterior Sphere Condition
Chadi Nour, Jean Takche
We introduce a variable radius form of the extended exterior sphere condition of [16], and then, we prove that the complement of a closed set satisfying this new property is nothin…