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Pseudonormal space : ウィキペディア英語版 | Pseudonormal space In mathematics, in the field of topology, a topological space is said to be pseudonormal if given two disjoint closed sets in it, one of which is countable, there are disjoint open sets containing them. Note the following: * Every normal space is pseudonormal. * Every pseudonormal space is regular. An example of a pseudonormal Moore space that is not metrizable was given by , in connection with the conjecture that all normal Moore spaces are metrizable.〔〔.〕 ==References==
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「Pseudonormal space」の詳細全文を読む
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