翻訳と辞書
Words near each other
・ Homogeneity and heterogeneity
・ Homogeneous (chemistry)
・ Homogeneous (large cardinal property)
・ Homogeneous alignment
・ Homogeneous broadening
・ Homogeneous catalysis
・ Homogeneous charge compression ignition
・ Homogeneous coordinate ring
・ Homogeneous coordinates
・ Homogeneous differential equation
・ Homogeneous distribution
・ Homogeneous function
・ Homogeneous isotropic turbulence
・ Homogeneous polynomial
・ Homogeneous space
Homogeneous tree
・ Homogeneous variety
・ Homogeneously staining region
・ Homogeneously Suslin set
・ Homogenes
・ Homogenes albolineatus
・ Homogenes leprieurii
・ Homogenes mimus
・ Homogenes rubrogaster
・ Homogenic
・ Homogenic Tour
・ Homogenization (biology)
・ Homogenization (chemistry)
・ Homogenization (climate)
・ Homogenizer


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

Homogeneous tree : ウィキペディア英語版
Homogeneous tree
In descriptive set theory, a tree over a product set Y\times Z is said to be homogeneous if there is a system of measures \langle\mu_s\mid s\in .
* The measures are in some sense compatible under restriction of sequences: if s_1\subseteq s_2, then \mu_(X)=1\iff\mu_(\)=1.
* If x is in the projection of T, the ultrapower by \langle\mu_\mid n\in\omega\rangle is wellfounded.
An equivalent definition is produced when the final condition is replaced with the following:
* There are \langle\mu_s\mid s\in^\omega Z such that \forall n\in\omega\,f\upharpoonright n\in X_n. This condition can be thought of as a sort of countable completeness condition on the system of measures.
T is said to be \kappa-homogeneous if each \mu_s is \kappa-complete.
Homogeneous trees are involved in Martin and Steel's proof of projective determinacy.
==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「Homogeneous tree」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.