翻訳と辞書
Words near each other
・ Differential group delay
・ Differential heat treatment
・ Differential ideal
・ Differential inclusion
・ Differential inheritance
・ Differential interference contrast microscopy
・ Differential invariant
・ Differential item functioning
・ Differential Manchester encoding
・ Difference and Repetition
・ Difference density map
・ Difference due to memory
・ Difference engine
・ Difference feminism
・ Difference gel electrophoresis
Difference hierarchy
・ Difference in differences
・ Difference in the depth of modulation
・ Difference list
・ Difference of Gaussians
・ Difference of Opinion
・ Difference of two squares
・ Difference polynomials
・ Difference quotient
・ Difference set
・ Difference theory
・ Difference United
・ Difference-map algorithm
・ Differences (journal)
・ Differences (song)


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

Difference hierarchy : ウィキペディア英語版
Difference hierarchy
In set theory, the difference hierarchy over a pointclass is a hierarchy of larger pointclasses
generated by taking differences of sets. If Γ is a pointclass, then the set of differences in Γ is \. In usual notation, this set is denoted by 2-Γ. The next level of the hierarchy is denoted by 3-Γ and consists of differences of three sets:
\. This definition can be extended recursively into the transfinite to α-Γ for some ordinal α.〔.〕
In the Borel hierarchy, Felix Hausdorff and Kazimierz Kuratowski proved that the countable levels of the
difference hierarchy over Π0γ give
Δ0γ+1.〔. See in particular (p. 173 ).〕
==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「Difference hierarchy」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.