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Whitney topologies : ウィキペディア英語版 | Whitney topologies In mathematics, and especially differential topology, functional analysis and singularity theory, the Whitney topologies are a countably infinite family of topologies defined on the set of smooth mappings between two smooth manifolds. They are named after the American mathematician Hassler Whitney. ==Construction== Let ''M'' and ''N'' be two real, smooth manifolds. Furthermore, let C∞(''M'',''N'') denote the space of smooth mappings between ''M'' and ''N''. The notation C∞ means that the mappings are infinitely differentiable, i.e. partial derivatives of all orders exist and are continuous.
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「Whitney topologies」の詳細全文を読む
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