- Thread starter
- #1
- Jan 17, 2013
- 1,667
Let $f$ be a continuous mapping of a compact metric space $X$ into a metric space $Y$ then $f$ is uniformly continuous on $X$.
I have seen a proof in the Rudin's book but I don't quite get it , can anybody establish another proof but with more details ?
I have seen a proof in the Rudin's book but I don't quite get it , can anybody establish another proof but with more details ?