翻訳と辞書 Words near each other ・ Prettyman ・ Prettyprint ・ Preturo ・ Pretwa ・ Prety ・ Pretyman baronets ・ Pretz ・ Pretz-en-Argonne ・ Pretz-en-Argonne Airdrome ・ Pretzel ・ Pretzel (disambiguation) ・ Pretzel (short story) ・ Pretzel Amusement Ride Company ・ Pretzel Flipz ・ Pretzel knot ・ Pretzel link ・ Pretzel Logic ・ Pretzel logic ・ Pretzel Logic (song) ・ Pretzel Nugget ・ Pretzel Park ・ Pretzel Pezzullo ・ Pretzel syndrome ・ Pretzelmaker ・ Pretzfeld ・ Pretzien ・ Pretzier ・ Pretzinger ・ Pretzsch ・ Pretzsch, Burgenlandkreis 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 Pretzel link ： ウィキペディア英語版 Pretzel link In knot theory, a branch of mathematics, a pretzel link is a special kind of link. A pretzel link which is also a knot (i.e. a link with one component) is a pretzel knot. In the standard projection of the $(p\_1,\backslash ,p\_2,\backslash dots,\backslash ,p\_n)$ pretzel link, there are $p\_1$ left-handed crossings in the first tangle, $p\_2$ in the second, and, in general, $p\_n$ in the nth. A pretzel link can also be described as a Montesinos link with integer tangles. ==Some basic results== The $(p\_1,p\_2,\backslash dots,p\_n)$ pretzel link is a knot iff both $n$ and all the $p\_i$ are odd or exactly one of the $p\_i$ is even.〔Kawauchi, Akio (1996). ''A survey of knot theory''. Birkhäuser. ISBN 3-7643-5124-1〕 The $(p\_1,\backslash ,p\_2,\backslash dots,\backslash ,p\_n)$ pretzel link is split if at least two of the $p\_i$ are zero; but the converse is false. The $(-p\_1,-p\_2,\backslash dots,-p\_n)$ pretzel link is the mirror image of the $(p\_1,\backslash ,p\_2,\backslash dots,\backslash ,p\_n)$ pretzel link. The $(p\_1,\backslash ,p\_2,\backslash dots,\backslash ,p\_n)$ pretzel link is link-equivalent (i.e. homotopy-equivalent in ''S''3) to the $(p\_2,\backslash ,p\_3,\backslash dots,\backslash ,p\_n,\backslash ,p\_1)$ pretzel link. Thus, too, the $(p\_1,\backslash ,p\_2,\backslash dots,\backslash ,p\_n)$ pretzel link is link-equivalent to the $(p\_k,\backslash ,p\_,\backslash dots,\backslash ,p\_n,\backslash ,p\_1,\backslash ,p\_2,\backslash dots,\backslash ,p\_)$ pretzel link.〔 The $(p\_1,\backslash ,p\_2,\backslash ,\backslash dots,\backslash ,p\_n)$ pretzel link is link-equivalent to the $(p\_n,\backslash ,p\_,\backslash dots,\backslash ,p\_2,\backslash ,p\_1)$ pretzel link. However, if one orients the links in a canonical way, then these two links have opposite orientations. 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「Pretzel link」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.