Topology: Continuity

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This video is about continuity and some of its basic properties.
  1. Center of Math
  2. topology basics
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Комментарии
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I think we should motivate these rather abstract definitions, with concrete examples of continuous functions, and 'non-examples' that violate the definition.

jasonarmondo
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You used as a justification the statement C(f^-1(A)) = f^-1(C(A)) for any set A.
Is this an obvious statement, what is the justification for this statement?

maxpercer
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i dont understand the last minute or so, it feels rushed. What is the given, what is the conclusion? iff proof?

maxpercer
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writing notes on board and just reading it, isnt the way to teach mathematics. All this is written in any book.

shubhrabhadauria