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| Complete topological space ： ウィキペディア英語版 |
Complete topological space
In mathematics, if a topological space is said to be complete, it may mean:
* that has been equipped with an additional Cauchy space structure which is complete,
*
* e. g., that it is a complete uniform space with respect to an aforementioned uniformity,
*
*
* e. g., that it is a complete metric space with respect to an aforementioned metric;
* or that has some topological property related to the above:
*
* that it is completely metrizable (often called ''(metrically) topologically complete''),
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* or that it is Čech-complete (a property coinciding with completely metrizability on the class of metrizable spaces, but including some non-metrizable spaces as well),
*
* or that it is completely uniformizable (also called ''topologically complete'' or ''Dieudonné-complete'' by some authors).
==References==
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抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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