翻訳と辞書 Words near each other ・ Scatterbrain (album) ・ Scatterbrain (band) ・ Scatterbrain (book) ・ Scatterbrain (film) ・ Scatterbrain (Morituri) ・ Scattered ・ Scattered (album) ・ Scattered (Battlestar Galactica) ・ Scattered (rave) ・ Scattered (The Kinks song) ・ Scattered Crumbs ・ Scattered disc ・ Scattered Dreams ・ Scattered Islands in the Indian Ocean ・ Scattered Order ・ Scattered order ・ Scattered Poems ・ Scattered Practices ・ Scattered Trees ・ Scattered, Smothered & Covered ・ Scattered, Smothered and Covered ・ Scattergood ・ Scattergood Baines ・ Scattergood Friends School ・ Scattergood Meets Broadway ・ Scattergood Pulls the Strings ・ Scattergood Rides High ・ Scattergood Survives a Murder ・ Scattergories ・ Scattergories (game show) 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 Scattered order ： ウィキペディア英語版 Scattered order In mathematical order theory, a scattered order is a linear order that contains no densely ordered subset with more than one element (Harzheim 2005:193''ff.'') A characterization due to Hausdorff states that the class of all scattered orders is the smallest class of linear orders which contains the singleton orders and is closed under well-ordered and reverse well-ordered sums. Laver's theorem (generalizing Fraïssé's conjecture) states that the embedding relation on the class of countable unions of scattered orders is a well-quasi-order (Harzheim 2005:265). The order topology of a scattered order is scattered. The converse implication does not hold, as witnessed by the lexicographic order on $\backslash mathbb\; Q\backslash times\backslash mathbb\; Z$. ==References== * * 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「Scattered order」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.