---
tag: 0QT00PB5G2
kind: concept
name: Homeomorphism
aliases: [topological-isomorphism, homeomorphic-spaces]
msc: [54C05]
sources:
  - url: https://en.wikipedia.org/wiki/Homeomorphism
    locator: lead section
same_as:
  wikidata: Q202906
  wikipedia: Homeomorphism
---

## Summary

A homeomorphism is a continuous bijection between topological spaces whose inverse is also continuous.
Homeomorphic spaces are the same from the point of view of topology.