# Definition:Homeomorphism/Manifolds

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This page has been proposed for deletion. In particular: This is the same definition as for general topological spaces. There is no extra subtlety here which distinguishes a homeomorphism between manifolds from how it is for a topological space in general, so we may find this page is not needed. |

## Definition

Let $X$ and $Y$ be manifolds.

A **homeomorphism** of $X$ to $Y$ is a continuous bijection such that the inverse is also continuous.

## Also known as

Also known as an isomorphism.

## Also see

- Results about
**Homeomorphisms**can be found here.