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Jan 8, 2014 at 22:07 comment added Archimondain Thanks for the answer and for the link and references. I did not see the question asked in the litterature, I guess it's because it's too soon (in term of the knowledges we have so far on the subject) to be asked. Then there is the question of existence of strong minimal cover for countably many degrees (I think it should be called strong minimal upper bound then), but that is another problem...
Jan 8, 2014 at 21:53 vote accept Archimondain
Jan 8, 2014 at 15:57 comment added Bjørn Kjos-Hanssen For a graphical view of how these classes of Turing degrees fit together one can consult the Computability Menagerie (math.wisc.edu/~jmiller/menagerie.html)
Jan 8, 2014 at 13:48 history answered Bjørn Kjos-Hanssen CC BY-SA 3.0