Differentiable manifold: Difference between revisions
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===Weaker properties=== | ===Weaker properties=== | ||
* [[Polyhedron]] | * [[Polyhedron]]: {{proofat|[[Differentiable manifold implies polyhedron]]}} | ||
* [[Manifold]] | * [[Manifold]] | ||
Revision as of 00:37, 2 February 2008
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