Differentiable manifold
Informally, a differentiable manifold is a kind of topological space that is similar enough to Euclidean space to allow one to do
calculus.
More formally, a differentiable manifold is a topological manifold with a globally defined differentiable structure. Any topological manifold can be given a differentiable structure locally by using the homeomorphisms in its atlas, combined with the standard differerentiable structure on the Euclidean space.
Encyclopedia
Informally, a
differentiable manifold is a kind of topological space that is similar enough to Euclidean space to allow one to do
calculus.
More formally, a
differentiable manifold is a topological manifold with a globally defined differentiable structure. Any topological manifold can be given a differentiable structure locally by using the homeomorphisms in its atlas, combined with the standard differerentiable structure on the Euclidean space.