翻訳と辞書 Words near each other ・ Whitney Halstead ・ Whitney Handicap ・ Whitney Hedgepeth ・ Whitney High School ・ Whitney High School (Cerritos, California) ・ Whitney High School (Rocklin, California) ・ Whitney High School (Toledo, Ohio) ・ Whitney Hillier ・ Whitney Hills ・ Whitney House ・ Whitney Houston ・ Whitney Houston (album) ・ Whitney Houston chart records and achievements ・ Whitney Houston discography ・ Whitney Houston videography ・ Whitney immersion theorem ・ Whitney Independent School District ・ Whitney inequality ・ Whitney Institute Middle School ・ Whitney Joins The JAMs ・ Whitney Jones ・ Whitney K. Newey ・ Whitney Kershaw ・ Whitney Keyes ・ Whitney Kroenke Burditt ・ Whitney L. Van Cleve ・ Whitney Laboratory for Marine Bioscience ・ Whitney Lakes Provincial Park ・ Whitney Lewis ・ Whitney M. Young Gifted & Talented Leadership Academy Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Whitney immersion theorem ： ウィキペディア英語版 Whitney immersion theorem In differential topology, the Whitney immersion theorem states that for $m>1$, any smooth $m$-dimensional manifold (required also to be Hausdorff and second-countable) has a one-to-one immersion in Euclidean $2m$-space, and a (not necessarily one-to-one) immersion in $(2m-1)$-space. Similarly, every smooth $m$-dimensional manifold can be immersed in the $2m-1$-dimensional sphere (this removes the $m>1$ constraint). The weak version, for $2m+1$, is due to transversality (general position, dimension counting): two ''m''-dimensional manifolds in $\backslash mathbf^$ intersect generically in a 0-dimensional space. ==Further Results== Massey went on to prove that every n-dimensional manifold is cobordant to a manifold that immerses in $S^$ where $a(n)$ is the number of 1's that appear in the binary expansion of $n$. In the same paper, Massey proved that for every n there is manifold (which happens to be a product of real projective spaces) that does not immerse in $S^$. The conjecture that every n-manifold immerses in $S^$ became known as the Immersion Conjecture which was eventually solved in the affirmative by Ralph Cohen . 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 immersion theorem」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.