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.
The uniform structures induced by equivalent norms on a vector space are uniformly isomorphic.
- homeomorphism is an isomorphism between topological spaces
- isometric isomorphism is an isomorphism between metric spaces
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