# Definition:Topological Manifold/Smooth Manifold

(Redirected from Definition:Smooth Manifold)
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 $d$.