Uniform isomorphism

In the mathematical field of topology a uniform isomorphism or uniform homeomorphism is a special isomorphism between uniform spaces that respects uniform properties. 
Definition.
A function formula_1 between two uniform spaces formula_2 and formula_3 is called a uniform isomorphism if it satisfies the following properties
If a uniform isomorphism exists between two uniform spaces they are called uniformly isomorphic or uniformly equivalent.
Examples.
The uniform structures induced by equivalent norms on a vector space are uniformly isomorphic.