History of Tangent space

	Revision 2 . . October 1, 2001 5:00 am by AxelBoldt
	Revision 1 . . September 30, 2001 9:18 pm by (logged).29.241.xxx

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Difference (from prior major revision) (no other diffs)

Changed: 1,2c1,5

The easiest definition of the tangent space is as the dual of the cotangent space.

The easiest definition of the tangent space at a point of a C∞ manifold is as the dual of the cotangent space at that point. We need the geometrical definition here for Ck manifolds, and the definition via derivations. Vector fields and tangent bundles should be mentioned.