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A Note on Closed Degrees of Difficulty of the Medvedev Lattice

 

作者: Caterina Bianchini,   Andrea Sorbi,  

 

期刊: Mathematical Logic Quarterly  （WILEY Available online 1996）
卷期: Volume 42, issue 1  

页码: 127-133

 

ISSN:0942-5616

 

年代: 1996

 

DOI:10.1002/malq.19960420111

 

出版商: WILEY‐VCH Verlag Berlin GmbH

 

关键词: Medvedev lattice;Recursive operator;Mass problem;Degree of difficulty

 

数据来源: WILEY

 

摘要:

AbstractWe consider some nonprincipal filters of the Medvedev lattice. We prove that the filter generated by the nonzero closed degrees of difficulty is not principal and we compare this filter, with respect to inclusion, with some other filters of the lattice. All the filters considered in this paper are disjoint from the prime ideal generated by the dense degrees of difficulty.Mathematics Subject Classification:03D30.

 

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