EDB — 0RH

Exercises

1. [0RH] Find a sequence of connected closed sets $C_n\subseteq {ℝ}^2$ such that $C_{n+1}\subseteq C_n$ and the intersection ${\bigcap }_n{C}_n$ is a non-empty and disconnected set.

   Can you find such an example in $ℝ$?

   Solution 1

   [0RJ]↺↻