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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


More on the connectivity of convex sets

Author: D. S. Bridges
Journal: Proc. Amer. Math. Soc. 68 (1978), 214-216
MSC: Primary 03F65; Secondary 46B05
MathSciNet review: 480195
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Abstract: 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].

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Additional Information

PII: S 0002-9939(1978)0480195-2
Keywords: Convex, connected, constructive
Article copyright: © Copyright 1978 American Mathematical Society

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