EDB — 172

Exercises

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

   Solution 1

   [173]↺↻