EDB — 04Z

Exercises

1. [04Z] Prerequisites:[01P]↺↻, [04R]↺↻.Difficulty:**.(Proposed on 2022-10-13) (Solved on 2022-11-15)
   Let \(A,B\) be infinite sets. Show that \(|A^ 2|=|A|\).

   Use this result to show that if \(A,B\) are not empty and at least one is infinite then \(|A× B|=\max \{ |A|,|B|\} \).

   Solution 1

   [050]↺↻

   See also the note [27H]↺↻.