In this case, the function f is sometimes called a special uniformly continuous map.

Both of these statements can be deduced from the lifting property for continuous maps.

Being a continuous map, the image also has to be compact.

Then induces a continuous map where are the one point compactifications.

There is no pushforward for a general continuous map of spaces.

Sim houses and neighborhoods are placed on one continuous map.

There is also a degree for continuous maps between manifolds.

Both examples have the property that any continuous linear map to the real numbers is 0.

A 3 D model, where the scene is visualized in a continuous, 3-dimensional map.

Every local homeomorphism is a continuous and open map.