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Polish group : ウィキペディア英語版 | Polish group In mathematics, a Polish group is a topological group that is also a Polish space, in other words homeomorphic to a separable complete metric space. ==Examples==
*All finite dimensional Lie groups with a countable number of components are Polish groups. *The unitary group of a separable Hilbert space (with the strong topology) is a Polish group. *The group of homeomorphisms of a compact metric space is a Polish group. *The product of a countable number of Polish groups is a Polish group. *The group of isometries of a separable complete metric space is a Polish group.
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「Polish group」の詳細全文を読む
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