EDB — 0T5

Exercises

1. [0T5] Prerequisites:[0MF]↺↻. Note:exercise 4 in the written exam of 13/1/2011.

   If \(A⊆ ℝ^ n\) is composed only of isolated points, then \(A\) has countable cardinality.

   Conversely, therefore, if \(A⊆ ℝ^ n\) is uncountable then the derivative \(D(A)\) is not empty.

   Solution 1

   [0T6]↺↻