On the structure of families of immune, hyperimmune and hyperhyperimmune sets
Sbornik. Mathematics, Tome 52 (1985) no. 2, pp. 301-313
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The author studies the algebraic structures formed by $m$-degrees containing immune, hyperimmune and hyperhyperimmune sets. He shows that the family of all immune sets relative to $m$-reducibility forms a $c$-universal upper semilattice, the families of all hyperimmune and hyperhyperimmune sets do not form subsemilattices of the semilattice of all $m$-degrees, etc.
Bibliography: 9 titles.
@article{SM_1985_52_2_a1,
author = {A. A. Mal'tsev},
title = {On the structure of families of immune, hyperimmune and hyperhyperimmune sets},
journal = {Sbornik. Mathematics},
pages = {301--313},
publisher = {mathdoc},
volume = {52},
number = {2},
year = {1985},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1985_52_2_a1/}
}
A. A. Mal'tsev. On the structure of families of immune, hyperimmune and hyperhyperimmune sets. Sbornik. Mathematics, Tome 52 (1985) no. 2, pp. 301-313. http://geodesic.mathdoc.fr/item/SM_1985_52_2_a1/