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A manifold is a topological space that locally resembles Euclidean space near each point. More precisely, each point of an n-dimensional manifold has a neighbourhood that is homeomorphic to the Euclidean space of dimension n.

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Implicit function theorem without manifolds (Steve Smale article)?

I don't know if this is the right place for this question, if not then please let me know and I will delete it. In 1974, Steve Smale published an article in the first issue of Journal of Mathematical …
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