Definition:Tangent Space (Affine Geometry)

This page is about Tangent Space in the context of Affine Space. For other uses, see Tangent Space.

Definition

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

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

Then $V$ is the tangent space of $\EE$.

Notation

It is common to write $V = \vec \EE$.

Also known as

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

Also see

• Definition:Tangent Space

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