EDB — 0BC

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Exercises

  1. [0BC] Prerequisites:[0B7]. Let \(A,B⊆ ℝ\) and let

    \[ A ⊕ B=\{ x + y : x∈ A, y∈ B\} \]

    the Minkowski sum  1 of the two sets: show that

    \[ \sup (A ⊕ B)=(\sup A) + (\sup B)~ ~ . \]

    Solution 1

    [0BD]

  1. The Minkowski sum will return in the section [2CP].
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