What is a continuous extension?

Continuous Extension

In this video, I define the concept of a continuous extension of a function and show that a function has a continuous extension if and only if it is uniformly continuous. This explains yet again why uniform continuity is so awesome

Uniform Continuity: https://youtu.be/PA0EJHYymLE

Continuity Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmB86yhDeAUZPY0dktFtb8Tj
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