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Strongly Amorphous Sets and Dual Dedekind Infinity

 

作者: Martin Goldstern,  

 

期刊: Mathematical Logic Quarterly  （WILEY Available online 1997）
卷期: Volume 43, issue 1  

页码: 39-44

 

ISSN:0942-5616

 

年代: 1997

 

DOI:10.1002/malq.19970430105

 

出版商: WILEY‐VCH Verlag Berlin GmbH

 

关键词: Dedekind infinite set;Strongly amorphous set;Inexhaustible set

 

数据来源: WILEY

 

摘要:

Abstract1. IfAis strongly amorphous (i.e., all relations onAare definable), then its power setP(A)is dually Dedekind infinite, i. e., every function fromP(A)ontoP(A)is injective. 2. The class of “inexhaustible” sets is not closed under supersets unless AC ho

 

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