Differentiable manifold

This article defines a property of manifolds and hence also of topological spaces

Definition

Symbol-free definition

A manifold is said to be differentiable if it can be given the structure of a differential manifold, viz if it can be given a compatible differential structure.

Relation with other properties

Weaker properties

• Polyhedron: For full proof, refer: Differentiable manifold implies polyhedron
• Manifold