Open sets in a metric space

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This is a short lecture about open sets in a metric space. The main idea is that a subset A of a metric is open if, for each point x in A, there exists an open ball around the point x that's contained in A. This is for my online topology class.
  1. Andrew McCrady
  2. open set
  3. metric space
  4. open ball
  5. metric
  6. distance
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I realise you are making playlists for your work responsibilities but I would suggest that you could take students through a book, like Rudin that everyone talks about. I think your style is one of the few professors that actually shows the maths not just the highlights and you could make a textbook come to life.

I thank you for the extra detail and scales you share. Your lectures are fantastic.

darrenpeck