Abstract:
We consider sets S С R satisfying a certain exterior sphere condition, and it is shown that under wedgedness of S, it coincides with φ-convexity. We also offer related improvements concerning the union of uniform closed balls conjecture.
Citation:
Nour, C., Stern, R. J., & Takche, J. (2011). Generalized exterior sphere conditions and φ-convexity. Discrete & Continuous Dynamical Systems, 29(2), 615.