Definition:Tangent Space (Affine Geometry)

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This page is about tangent space in the context of affine spaces. For other uses, see Definition:Tangent Space.

Definition

Let $\tuple {\mathcal E, +, -}$ be an affine space.

Let $V$ be the vector space that is the codomain of $-$.


Then $V$ is the tangent space of $\mathcal E$.


Notation

It is common to write $V = \vec {\mathcal E}$.


Also known as

The tangent space is also apparently known as the difference space.


Also see