# Category:Smooth Manifolds

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This category contains results about Smooth Manifolds.

Definitions specific to this category can be found in Definitions/Smooth Manifolds.

Let $M$ be a second-countable locally Euclidean space of dimension $d$.

Let $\mathscr F$ be a smooth differentiable structure on $M$.

Then $\left({M, \mathscr F}\right)$ is called a **smooth manifold of dimension $d$**.