请输入您要查询的字词:

 

单词 GeneralizedContinuumHypothesis
释义

generalized continuum hypothesis


The generalized continuum hypothesis states that for any infiniteMathworldPlanetmath cardinal λ there is no cardinal κ such that λ<κ<2λ.

An equivalentMathworldPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath condition is that α+1=2α for every ordinalMathworldPlanetmathPlanetmath α.Another equivalent condition is that α=α for every ordinal α.

Like the continuum hypothesisMathworldPlanetmath, the generalized continuum hypothesis is known to be independent of the axioms of ZFC.

Titlegeneralized continuum hypothesis
Canonical nameGeneralizedContinuumHypothesis
Date of creation2013-03-22 12:05:31
Last modified on2013-03-22 12:05:31
Owneryark (2760)
Last modified byyark (2760)
Numerical id15
Authoryark (2760)
Entry typeAxiom
Classificationmsc 03E50
Synonymgeneralised continuum hypothesis
SynonymGCH
Related topicAlephNumbers
Related topicBethNumbers
Related topicContinuumHypothesis
Related topicCardinality
Related topicCardinalExponentiationUnderGCH
Related topicZermeloFraenkelAxioms
随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/4 3:42:06