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arXiv · 1909.06003

Lowness for isomorphism, countable ideals, and computable traceability

Johanna N. Y. Franklin·Reed Solomon
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Abstract

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.

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Johanna N. Y. Franklin, Reed Solomon. 2019-09-13. Lowness for isomorphism, countable ideals, and computable traceability. https://arxiv.org/abs/1909.06003

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