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If the join of two degrees compute one of their jumps, what can we say about the jump of the...

Let $\mathbf{a}$ and $\mathbf{b}$ be two Turing degrees such that $\mathbf{a'} = \mathbf{a} \oplus \mathbf{b}$. Must it be the case that $\mathbf{a'} \leq \mathbf{b'}$? What if in addition, we know th …
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