Definition:Manifold


 * Topological Manifold: a topological space (specifically a second-countable, locally Euclidean space) with a differentiable structure. This subsumes:
 * Differentiable Manifold, a space with a differentiable structure.
 * Smooth Manifold, a space with a smooth differentiable structure.
 * Complex Manifold, a space with a complex analytic differentiable structure.


 * Linear Manifold, a term used to distinguish linear subspaces from closed linear subspaces, mainly in functional analysis.