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Negative-dimensional space : ウィキペディア英語版 | Negative-dimensional space In topology, a discipline within mathematics, a negative-dimensional space is an extension of the usual notion of space allowing for negative dimensions. ==Definition== Suppose that is a compact space of Hausdorff dimension , which is an element of a scale of compact spaces embedded in each other and parametrized by (). Such scales are considered ''equivalent'' with respect to if the compact spaces constituting them coincide for . It is said that the compact space is the ''hole'' in this equivalent set of scales, and is the negative dimension of the corresponding equivalence class.
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「Negative-dimensional space」の詳細全文を読む
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