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On Closed Starshaped Sets and Baire Category

On Closed Starshaped Sets and Baire Category

Let C be a closed set of second category in a normed linear space, and let ${C^\ast }$ be the subset of C each point of which sees all points of C except a set of first category. If ${C^\ast }$ is nonempty, then ${C^\ast }$ is a closed convex …