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Exercises

  1. [0WR] Consider two balls \(B(x,r)\) and \(B(y,𝜌)\) radius \(0{\lt}r≀ 𝜌\) that have non-empty intersection: then \(B(x,r)βŠ† B(y,𝜌)\).

    Similarly for the disks \(D(x,r){\stackrel{.}{=}}\{ y∈ X : d(x,y)≀ r\} \) and \(D(y,r)\).

    Solution 1

    [0WS]

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  • ball, in ultrametric
  • disk, in ultrametric
  • metric space
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