EDB — 174

Exercises

1. [174] Prerequisites:[172]↺↻,[0NZ]↺↻.If $A\subset {ℝ}^n$ is convex, $x\in A^{\circ }$ and $z\in \partial A$ then the segment that connects them is contained in $A^{\circ }$, except possibly for the extreme $z$ (i.e. $\forall t\in (0,1),tx+(1-t)z\in A^{\circ }$).

   Solution 1

   [175]↺↻