EDB — 16S

Exercises

1. [16S]Prerequisites:[2CX]↺↻.Difficulty:*.

   Suppose \((X,d)\) admits a subset \(D\) that is dense but has empty interior. ¹

   Given a \(E⊂ X\) which is a \(F_𝜎\), construct a function \(f:X→ℝ\) for which \(E\) is the set of points of discontinuity.

   Solution 1

   [16T]↺↻