The function f is called a choice function because it provides a rule to "choose" an element from each subset of X. a) Which of the following mathematicians introduced the Axiom of Choice: i) Max Zorn ii) Ernst Zermelo iii) Felix Hausdorff b) For the other two mathematicians in part a) briefly (one or two sentences) describe why their names are connected to the Axiom of Choice. c) If X = N describe how the the existence of a choice function for N can be immediately deduced from the Well Ordering Property. (That is, describe what value you would assign to a non-empty subset A of N.) Note: Spend 5 minutes trying to create a choice function for R. If you succeed please let me know