EDB — 172

Exercises

1. [172] If $A\subset {ℝ}^n$ is convex, $x\in A^{\circ }$ and $y\in A$ then the segment that links them is contained in $A^{\circ }$, except possibly for the extreme $y$, that is, $\forall t\in (0,1),tx+(1-t)y\in A^{\circ }$.

   Solution 1

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