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On a property of countable partitioning of the continuum without the use of Koenig's lemma

 

作者: Alexander Abian,  

 

期刊: International Journal of Mathematical Education in Science and Technology  （Taylor Available online 1980）
卷期: Volume 11, issue 4  

页码: 475-478

 

ISSN:0020-739X

 

年代: 1980

 

DOI:10.1080/0020739800110402

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Without invoking Koenig's lemma or any other special results it is shown (based on some lemmas which may be of interest on their own) that if the set of all the real numbers is a union of countably many of its subsets then at least one of these subsets is of the power of the continuum.

 

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