Sheet 1, due by October 28, 2014 Note: In Exercise 4 of Sheet 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).
