In the mathematical field of topology a uniform isomorphism or uniform homeomorphism is a special isomorphism between uniform spaces which respects uniform properties.
Contents
Definition
A function f between two uniform spaces X and Y 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.
References
Uniform isomorphism Wikipedia(Text) CC BY-SA