翻訳と辞書
Words near each other
・ Diagnostic program
・ Diagnostic robot
・ Diagnostic substitution
・ Diagnostic test
・ Diagnostic wax-up
・ Diagnosticos da America
・ Diagnostics of Karma
・ Diago
・ Diagonal
・ Diagonal argument
・ Diagonal band of Broca
・ Diagonal butterflyfish
・ Diagonal form
・ Diagonal formula
・ Diagonal functor
Diagonal intersection
・ Diagonal lemma
・ Diagonal magic cube
・ Diagonal Mar i el Front Marítim del Poblenou
・ Diagonal matrix
・ Diagonal method
・ Diagonal mirror
・ Diagonal Norte (Buenos Aires Underground)
・ Diagonal pliers
・ Diagonal relationship
・ Diagonal spread
・ Diagonal subgroup
・ Diagonal View
・ Diagonal Zero Zero
・ Diagonal, Iowa


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Diagonal intersection : ウィキペディア英語版
Diagonal intersection
Diagonal intersection is a term used in mathematics, especially in set theory.
If \displaystyle\delta is an ordinal number and \displaystyle\langle X_\alpha \mid \alpha<\delta\rangle
is a sequence of subsets of \displaystyle\delta, then the ''diagonal intersection'', denoted by
:\displaystyle\Delta_ X_\alpha,
is defined to be
:\displaystyle\.
That is, an ordinal \displaystyle\beta is in the diagonal intersection \displaystyle\Delta_ X_\alpha if and only if it is contained in the first \displaystyle\beta members of the sequence. This is the same as
:\displaystyle\bigcap_ ( (\alpha ) \cup X_\alpha ),
where the closed interval from 0 to \displaystyle\alpha is used to
avoid restricting the range of the intersection.
==See also==

*Fodor's lemma
*Club set
*Club filter

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「Diagonal intersection」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.