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@jemoka / Jemoka Knowledge Base / wiki/concepts/quotient_map.md
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--- 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.