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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 is the upper half-plane , then a topology may be defined on by taking a local basis as follows: *Elements of the local basis at points with are the open discs in the plane which are small enough to lie within . Thus the subspace topology inherited by is the same as the subspace topology inherited from the standard topology of the Euclidean plane. *Elements of the local basis at points are sets 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
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