Geodesic
$m$-Degrees of supersets of simple sets
Matematičeskie zametki, Tome 23 (1978) no. 6, pp. 889-893

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It is proved that there exists a simple, but not hypersimple, set $A$ such that $B\underset{\displaystyle m}\le A$ whenever $A\subseteq B$ for every recursively enumerable set $B$. 
@article{MZM_1978_23_6_a11,
     author = {A. N. Degtev},
     title = {$m${-Degrees} of supersets of simple sets},
     journal = {Matemati\v{c}eskie zametki},
     pages = {889--893},
     publisher = {mathdoc},
     volume = {23},
     number = {6},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_6_a11/}
}
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A. N. Degtev. $m$-Degrees of supersets of simple sets. Matematičeskie zametki, Tome 23 (1978) no. 6, pp. 889-893. http://geodesic.mathdoc.fr/item/MZM_1978_23_6_a11/