EDB — 0GH

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Exercises

  1. [0GH] Topics:closing. Given \(X\) topological space and \(A⊆ X\), show that

    \[ \overline A= \overline{\left(\overline A\right)} \]

    or by switching to complement with respect to [0GF], and using the definition of \(\overline A\) like ”intersection of all the locks they contain \(A\)”.

    (For the case of \(X\) metric space, see also [0PQ])

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  • closure, repeated
  • interior
  • space, topological
  • topological space
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