Matematičeskie zametki, Tome 23 (1978) no. 6, pp. 889-893
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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/
@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},
year = {1978},
volume = {23},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_6_a11/}
}
TY - JOUR
AU - A. N. Degtev
TI - $m$-Degrees of supersets of simple sets
JO - Matematičeskie zametki
PY - 1978
SP - 889
EP - 893
VL - 23
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1978_23_6_a11/
LA - ru
ID - MZM_1978_23_6_a11
ER -
%0 Journal Article
%A A. N. Degtev
%T $m$-Degrees of supersets of simple sets
%J Matematičeskie zametki
%D 1978
%P 889-893
%V 23
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1978_23_6_a11/
%G ru
%F MZM_1978_23_6_a11
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 $B$.