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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Moore plane ： ウィキペディア英語版 Moore plane In mathematics, the Moore plane, also sometimes called Niemytzki plane (or Nemytskii plane, Nemytskii's tangent disk topology), is a topological space. It is a completely regular Hausdorff space (also called Tychonoff space) which is not normal. It is named after Robert Lee Moore and Viktor Vladimirovich Nemytskii. ==Definition== If $\backslash Gamma$ is the upper half-plane $\backslash Gamma\; =\; \backslash$, then a topology may be defined on $\backslash Gamma$ by taking a local basis $\backslash mathcal(p,q)$ as follows: *Elements of the local basis at points $(x,y)$ with $y>0$ are the open discs in the plane which are small enough to lie within $\backslash Gamma$. Thus the subspace topology inherited by $\backslash Gamma\backslash backslash\; \backslash$ is the same as the subspace topology inherited from the standard topology of the Euclidean plane. *Elements of the local basis at points $p\; =\; (x,0)$ are sets $\backslash \backslash cup\; A$ where ''A'' is an open disc in the upper half-plane which is tangent to the ''x'' axis at ''p''. That is, the local basis is given by : 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「Moore plane」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.