All Questions
2 questions
5
votes
1
answer
246
views
Splitting 0' into two 1-generic reals
I have come across multiple research papers where they have mentioned that two 1-generic reals $x$ and $y$ can be constructed such that $x \oplus y \equiv_{T} \textbf{0}'$, where $\textbf{0}'$ is the ...
1
vote
0
answers
37
views
Are the $\omega$-generic arithmetic degrees downward closed
A degree is $\alpha$-generic if it has representative that is $\alpha$-generic. Are the $\omega$-generic arithmetic degrees (i.e. the degree structure induced by arithmetic reproducibility) downward ...