EDB — 0WW

Exercises

1. [0WW] Show that every open ball \(B(x,r)\) is also closed. Show that every disk \(D(x,r)\) with \(r{\gt}0\) is also open.

   Solution 1

   [0WX]↺↻

   By the exercise [0K0]↺↻, there follows that the space is totally disconnected.