More on the connectivity of convex sets
Douglas Bridges · Proceedings of the American Mathematical Society · 1978
This note, written from a constructive viewpoint, shows how Mandelker’s results on connectivity of compact intervals [3] extend to open balls in Banach space, and complete, convex subsets of arbitrary normed spaces. This is achieved by proving the equivalence of Mandelker’s notion of connectivity with one of those discussed in [2].