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Surface

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A surface in an ambient space X, in stricly meaning, is a mapping from a open connected set of the 2D-euclidean space into X.

This concept is better grasped thinking in the last layer of a three dimensional body.

TechnicalyEdit

the mapping defining a surface it has to be injective, has derivative and its differential must have rank equal to two.

ExamplesEdit

Pseudosphere1

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