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並前往https://www.quora.com/Why-is-a-diffeomorphism-always-a-homeomorphism-but-a-homeomorphism-may-not-be-a-diffeomorphism-exotic-sphere

Why is a diffeomorphism always a homeomorphism but a ...

A diffeomorphism is always a homeomorphism because of course it is. Homeomorphisms are continuous bijections with continuous inverse; diffeomorphisms are ...

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