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What is a Manifold? Lesson 1: Point Set Topology and Topological Spaces

XylyXylyX · Youtube · 19 HN points · 1 HN comments
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Youtube Summary
This will begin a short diversion into the subject of manifolds. I will review some point set topology and then discuss topological manifolds. Then I will return to the "What is a Tensor" series.


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Hacker News Stories and Comments

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Apr 14, 2019 · colllectorof on What Is a Manifold?
If you want more, there is an excellent course on "introductory" topology on YouTube:

https://www.youtube.com/watch?v=CEXSSz0gZI4

It is made by a physicist, not mathematician, and it's a great combination of informal explanations and carefully covering the actual math definitions.

I feel that his approach works way better than making analogies.

There is another course from Wildberger. A bit more hardcore, but also has some interesting perspectives:

https://www.youtube.com/watch?v=Ap2c1dPyIVo&list=PL6763F57A6...

Dec 18, 2016 · 19 points, 0 comments · submitted by espeed
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