Intro to Manifolds Part 4: Examples of Orientable Manifolds

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Here we show that smooth non-singular surfaces and odd dimensional projective spaces are orientable, while the Mobius strip is not.
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Please tell me you are or will be a research mathematician. I prefer your presentation to those I have got over the years from professors.

Addendum: IMHO, the first look at manifolds in late undergrad classes for those heading to graduate school should look almost exactly what you have presented here. I am really enjoying this.

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Can you make some videos about inversion in geometry plz :)

itsomar