COMPACT METRIZABLE GROUPS ARE ISOMETRY GROUPS OF COMPACT METRIC SPACES Introduction It is an easy fact that, if X is a Polish me
PROBLEM SET 11 Problem 1 Let M be a compact metric space, and let 0 <α< 1 Prove that the set of all continuous functions
![SOLVED: Definition. Suppose (X,dx) and (Y,dy are metric spaces and X is compact Let C(X,Y) be the set of all continuous functions from X into Y and let D : C(X,Y) x SOLVED: Definition. Suppose (X,dx) and (Y,dy are metric spaces and X is compact Let C(X,Y) be the set of all continuous functions from X into Y and let D : C(X,Y) x](https://cdn.numerade.com/ask_images/94f230ab52244c259491adcb8e9625c7.jpg)