EDB — 0SQ

Exercises

1. [0SQ] Prerequisites:[0H7]↺↻, [0H9]↺↻.For each \(A⊆ ℝ^ n\) closed non-empty set, there exists \(B⊆ A\) such that \(A=∂ B\).

   In which cases does there exist such a \(B\) that is countable?

   In which cases does there exist such a \(B\) that is closed?

   Solution 1

   [0SR]↺↻

   See also [0MH]↺↻.

   [ [0ST]↺↻]