Blatt 1, Abgabe am 28. Oktober 2014 Achtung: In Exercise 4 of Übungsblatt 1, take the following as the definition of Dedekind complete set:
"A totally ordered set (K, <=) is said to be Dedekind complete if for every pair of non-empty subsets L and U with L<= U there exists an element b of K such that L<= b <= U."
Then show the characterization required in Exercise 4 (a).
