---
title: "quotient map"
type: concept
related: [Quotient Map, Linear Map, Parallel Linear Algebra]
source: https://www.jemoka.com/posts/kbhquotient_map/
confidence: high
status: active
---

The quotient map \(\pi\) is the Linear Map \(V \to V / U\) such that:
\begin{equation} \pi(v) = v+U \end{equation}
for \(v \in V\).
I.e.: the quotient map is affine subsetification map given a vector.
