Quite a nice video here:
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Author: mathtuition88
Math and Education Blog View all posts by mathtuition88
Mathtuition88 
Interesting video indeed. I never knew of the existence of topology applications. But then again, I come from more of a calculus, probability, stochastic calculus (for finance) and statistics background.
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Topology applications (persistent homology) only came about in the last decade or so. Something very new.
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