Continuity in a metric space

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This is a short lecture about the notion of continuous functions between metric spaces. The main idea is that the pre/inverse image of an open set is open under a continuous function. This for my online topology class.
  1. Andrew McCrady
  2. continuity
  3. metric
  4. metric space
  5. function
  6. continuous function
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Комментарии
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That is a real "real example" to explain the topic. Thanks Andrew!

aliguliyev
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After 12412490 videos on youtube, yours is the first one to actually explain it in "dumb-people friendly" language

adriancristescu
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Came here after reading that definition from Rudin and not understanding anything. You make really great and visual videos. Just needed to see a few examples. Thanks a lot.

kunal-kundu
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can you give example of function in metric space and show the step how to proof it continous?

azlinie