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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 Abstract differential geometry ： ウィキペディア英語版 Abstract differential geometry The adjective ''abstract'' has often been applied to differential geometry before, but the abstract differential geometry (ADG) of this article is a form of differential geometry without the calculus notion of smoothness, developed by Anastasios Mallios and others from 1998 onwards.〔"Geometry of Vector Sheaves: An Axiomatic Approach to Differential Geometry", Anastasios Mallios, Springer, 1998, ISBN 978-0-7923-5005-7〕 Instead of calculus, an axiomatic treatment of differential geometry is built via sheaf theory and sheaf cohomology using vector sheaves in place of bundles based on arbitrary topological spaces.〔"Modern Differential Geometry in Gauge Theories: Maxwell fields", Anastasios Mallios, Springer, 2005, ISBN 978-0-8176-4378-2〕 Mallios says noncommutative geometry can be considered a special case of ADG, and that ADG is similar to synthetic differential geometry. ==Applications== 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「Abstract differential geometry」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.