Definition:Tangent Space (Affine Geometry)

This page is about tangent space in the context of affine geometry. 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

Sources

There are no source works cited for this page. Source citations are highly desirable, and mandatory for all definition pages. Definition pages whose content is wholly or partly unsourced are in danger of having such content deleted. To discuss this page in more detail, feel free to use the talk page.