Category of uniform spaces with uniformly continuous maps

This article describes a category (in the mathematical sense) whose objects are uniform spaces, and whose morphisms are uniformly continuous maps. In other words, it gives a category structure to the collection of all uniform spaces.
View other category structures on uniform spaces

Definition

The category of uniform spaces with uniformly continuous maps is defined as follows:

• Its objects are uniform spaces.
• Its morphisms are uniformly continuous maps.