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pow:problem5f22

Problem 5 (due on Monday, November 7)

Let F be the set of all functions f:RN from the real numbers to natural numbers. Prove that there exists a sequence of functions f1,f2,f3, in F such that for every finite set AR and every gF there is i such that g(a)=fi(a) for every aA.

The problem was solved by Levi Axelrod and Ashton Keith. The solutions differ in details but follow similar idea. For a detailed solution and some applications to topology see the following link Solution.

pow/problem5f22.txt · Last modified: 2022/11/14 10:13 by mazur