Category:Definitions/Smooth Manifolds

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This category contains definitions related to Smooth Manifolds.
Related results can be found in Category: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 $d$.