Bourbaki

Exercise 9, § 7

Topological Vector Spaces, II, p. 88

Show that in the product space E=RNE = \mathbf{R}^N, the cube INI^N, where I={0,1}I = \{0, 1\}, is a compact convex set with no point of strict convexity.

Solution

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Transcribed from the printed volume. Not translated.