---
tag: 0PYW26VNT6
kind: concept
name: Affine subspace
aliases: [flat, affine-subset]
msc: [51N10]
sources:
  - url: https://en.wikipedia.org/wiki/Affine_space
    locator: Affine subspaces and parallelism
---

## Summary

An affine subspace of an [[affine space|09XNAPTJQ7]] is a subset that is itself an affine space, for the same action of the vectors. Points, lines and planes are the affine subspaces of dimension 0, 1 and 2.