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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 Statements true in L ： ウィキペディア英語版 Statements true in L Here is a list of propositions that hold in the constructible universe (denoted L): * The generalized continuum hypothesis and as a consequence * * The axiom of choice * Diamondsuit * * Clubsuit * Global square * The existence of morasses * The negation of the Suslin hypothesis * The non-existence of 0# and as a consequence * * The non existence of all large cardinals which imply the existence of a measurable cardinal * The truth of Whitehead's conjecture that every abelian group ''A'' with Ext1(''A'', Z) = 0 is a free abelian group. * The existence of a definable well-order of all sets (the formula for which can be given explicitly). In particular, L satisfies V=HOD. Accepting the axiom of constructibility (which asserts that every set is constructible) these propositions also hold in the von Neumann universe, resolving many propositions in set theory and some interesting questions in analysis. 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「Statements true in L」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.