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Lowness for isomorphism, countable ideals, and computable traceability
Mathematical Logic Quarterly ( IF 0.4 ) Pub Date : 2020-03-01 , DOI: 10.1002/malq.201900066
Johanna N. Y. Franklin 1 , Reed Solomon 2
Affiliation  

We show that every countable ideal of degrees that are low for isomorphism is contained in a principal ideal of degrees that are low for isomorphism by adapting an exact pair construction. We further show that within the hyperimmune-free degrees, lowness for isomorphism is entirely independent of computable traceability.

中文翻译:

同构性、可数理想和可计算溯源性的低度

我们表明,通过采用精确对构造,每个可数的同构低度数理想都包含在同构低度数的主要理想中。我们进一步表明,在无超免疫程度内,同构的低度完全独立于可计算的可追溯性。
更新日期:2020-03-01
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