Definition:Topological Manifold/Smooth Manifold
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Definition
Let $M$ be a second-countable locally Euclidean space of dimension $d$.
Let $\mathscr F$ be a smooth differentiable structure on $M$.
Then $\struct {M, \mathscr F}$ is called a smooth manifold of dimension $d$.
Also known as
A smooth manifold is also known as a differential manifold.
Also see
- Results about smooth manifolds can be found here.