Definition:Homeomorphism/Manifolds

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. Please assess the validity of this proposal. (discuss)

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.