翻訳と辞書 Words near each other ・ Surgeons of Hope ・ Surgeons' Hall ・ Surgeons' Hall riot ・ Surgerica ・ Surgery ・ Surgery (album) ・ Surgery (band) ・ Surgery (disambiguation) ・ Surgery (politics) ・ Surgery exact sequence ・ Surgery for temporomandibular joint dysfunction ・ Surgery for the dysfunctional sacroiliac joint ・ Surgery obstruction ・ Surgery Saved My Life ・ Surgery simulator ・ Surgery structure set ・ Surgery theory ・ Surgical airway management ・ Surgical anastomosis ・ Surgical Care Affiliates ・ Surgical Care and Outcomes Assessment Program ・ Surgical Care Improvement Project ・ Surgical Council on Resident Education ・ Surgical elevator ・ Surgical emergency ・ Surgical Endoscopy ・ Surgical Eye Expeditions International ・ Surgical humidification ・ Surgical incision ・ Surgical Innovation 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 Surgery structure set ： ウィキペディア英語版 Surgery structure set In mathematics, the surgery structure set $\backslash mathcal\; (X)$ is the basic object in the study of manifolds which are homotopy equivalent to a closed manifold X. It is a concept which helps to answer the question whether two homotopy equivalent manifolds are diffeomorphic (or PL-homeomorphic or homeomorphic). There are different versions of the structure set depending on the category (DIFF, PL or TOP) and whether Whitehead torsion is taken into account or not. == Definition == Let X be a closed smooth (or PL- or topological) manifold of dimension n. We call two homotopy equivalences $f\_i:\; M\_i\; \backslash to\; X$ from closed manifolds $M\_i$ of dimension $n$ to $X$ ($i=0,1$) equivalent if there exists a cobordism $\backslash mathcal)$ such that $F$, $f\_0$ and $f\_1$ are homotopy equivalences. The structure set $\backslash mathcal^h\; (X)$ is the set of equivalence classes of homotopy equivalences $f:\; M\; \backslash to\; X$ from closed manifolds of dimension n to X. This set has a preferred base point: $id:\; X\; \backslash to\; X$. There is also a version which takes Whitehead torsion into account. If we require in the definition above the homotopy equivalences F, $f\_0$ and $f\_1$ to be simple homotopy equivalences then we obtain the simple structure set $\backslash mathcal^s\; (X)$. 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「Surgery structure set」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.