EDB — 0RH

Exercises

1. [0RH] Find a sequence of connected closed sets \(C_ n⊆ℝ^ 2\) such that \(C_{n+1}⊆ C_ n\) and the intersection \(⋂_ nC_ n\) is a non-empty and disconnected set.

   Can you find such an example in \(ℝ\)?

   Solution 1

   [0RJ]↺↻