---
tag: 0NQ1H2X495
kind: concept
name: Quotient topology
aliases: [quotient-space, identification-topology]
msc: [54B15]
sources:
  - url: https://en.wikipedia.org/wiki/Quotient_space_(topology)
    locator: lead section
same_as:
  wikidata: Q1139111
  wikipedia: Quotient space (topology)
---

## Summary

The quotient topology is the topology on a set of equivalence classes that comes from a topological space.
It formalises the idea of gluing points of a space together.