Smooth manifold
= Smooth manifold
A smooth $k$-manifold is a Hausdorff second-countable space locally homeomorphic to $\mathbb R^k$, equipped with smoothly compatible coordinate charts.
= Smooth manifold
A smooth $k$-manifold is a Hausdorff second-countable space locally homeomorphic to $\mathbb R^k$, equipped with smoothly compatible coordinate charts.