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Uniform isomorphism : ウィキペディア英語版
Uniform isomorphism
In the mathematical field of topology a uniform isomorphism or uniform homeomorphism is a special isomorphism between uniform spaces which respects uniform properties.
==Definition==

A function ''f'' between two uniform spaces ''X'' and ''Y'' is called a uniform isomorphism if it satisfies the following properties
* ''f'' is a bijection
* ''f'' is uniformly continuous
* the inverse function ''f'' -1 is uniformly continuous
If a uniform isomorphism exists between two uniform spaces they are called uniformly isomorphic or uniformly equivalent.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Uniform isomorphism」の詳細全文を読む



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