EDB — 0QP

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Exercises

  1. [0QP] Topics:adherent point, accumulation point.

    Check that

    • Each accumulation point is also an adherent point, in symbols \(D(A)⊆ \overline A\);

    • if a point adhering to \(A\) is not in \(A\) then it is an accumulation point;

    So we obtain that \(\overline A=A∪ D(A)\). [ [0QQ]]

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Bibliography
Book index
  • adherent point
  • accumulation point
  • accumulation point, in metric spaces
  • topology, in metric spaces
  • metric space
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