Geodesic
A semilattice of numberings. II
Algebra i logika, Tome 49 (2010) no. 4, pp. 498-519

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$\mathfrak c$-Universal semilattices $\mathfrak A$ of the power of the continuum (of an upper semilattice of $m$-degrees ) on admissible sets are studied. Moreover, it is shown that a semilattice of $\mathbb{HF}(\mathfrak M)$-numberings of a finite set is $\mathfrak c$-universal if $\mathfrak M$ is a countable model of a $\mathfrak c$-simple theory.
Keywords: computably enumerable set, $\mathbb A$-numbering, $m\Sigma$-reducibility, hereditarily finite superstructure, natural ordinal, upper semilattice, $\mathfrak c$-universal semilattice.
Mots-clés : admissible set 
@article{AL_2010_49_4_a3,
     author = {V. G. Puzarenko},
     title = {A semilattice of {numberings.~II}},
     journal = {Algebra i logika},
     pages = {498--519},
     publisher = {mathdoc},
     volume = {49},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2010_49_4_a3/}
}
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V. G. Puzarenko. A semilattice of numberings. II. Algebra i logika, Tome 49 (2010) no. 4, pp. 498-519. http://geodesic.mathdoc.fr/item/AL_2010_49_4_a3/