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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 Dogbone space ： ウィキペディア英語版 Dogbone space In geometric topology, the dogbone space, constructed by , is a quotient space of three-dimensional Euclidean space R3 such that all inverse images of points are points or tame arcs, yet it is not homeomorphic to R3. The name "dogbone space" refers to a fanciful resemblance between some of the diagrams of genus 2 surfaces in R.H. Bing's paper and a dog bone. showed that the product of the dogbone space with R1 is homeomorphic to R4. Although the dogbone space is not a manifold, it is a generalized homological manifold and a homotopy manifold. ==See also== *Whitehead manifold, a 3-manifold not homeomorphic to R3 whose product with R1 is homeomorphic to R4. 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「Dogbone space」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.