# Category:Definitions/Differentiable Manifolds

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This category contains definitions related to Differentiable Manifolds.

Related results can be found in Category:Differentiable Manifolds.

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

Let $\mathscr F$ be a $d$-dimensional differentiable structure on $M$ of class $\mathcal C^k$, where $k \ge 1$.

Then $\left({M, \mathscr F}\right)$ is a **differentiable manifold of class $C^k$ and dimension $d$**.

## Pages in category "Definitions/Differentiable Manifolds"

The following 8 pages are in this category, out of 8 total.