# Quotient vector space

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Quotient vector space](https://ocme.evemisslab.com/en/atlas/atlas-quotient-vector-space/)

Cosets of a subspace W form the quotient vector space V/W, whose operations must be independent of representative choices.

atlas-quotient-vector-space · canonical_mko

[Quotient vector space](https://ocme.evemisslab.com/en/mko/mko-quotient-vector-space/)

## Prerequisite nodes


- [Real vector subspace](https://ocme.evemisslab.com/en/atlas/atlas-vector-subspace/)
- [Quotient set](https://ocme.evemisslab.com/en/atlas/atlas-quotient-set/)
- [Real vector space](https://ocme.evemisslab.com/en/atlas/atlas-real-vector-space/)
- [Equivalence class](https://ocme.evemisslab.com/en/atlas/atlas-equivalence-class/)
- [Dimension of a finite-dimensional vector space](https://ocme.evemisslab.com/en/atlas/atlas-vector-space-dimension/)