Geodesic
$\Sigma$-uniform structures and $\Sigma$-functions. I
Algebra i logika, Tome 50 (2011) no. 5, pp. 659-684

Voir la notice de l'article provenant de la source Math-Net.Ru

The concept of a $\Sigma$-uniform structure is introduced. A condition is derived which is necessary and sufficient for a universal $\Sigma$-function to exist in a hereditarily finite admissible set over a $\Sigma$-uniform structure.
Keywords: hereditarily finite admissible set, $\Sigma$-definability, universal $\Sigma$-function, $\Sigma$-uniform structure. 
@article{AL_2011_50_5_a4,
     author = {A. N. Khisamiev},
     title = {$\Sigma$-uniform structures and $\Sigma${-functions.~I}},
     journal = {Algebra i logika},
     pages = {659--684},
     publisher = {mathdoc},
     volume = {50},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2011_50_5_a4/}
}
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A. N. Khisamiev. $\Sigma$-uniform structures and $\Sigma$-functions. I. Algebra i logika, Tome 50 (2011) no. 5, pp. 659-684. http://geodesic.mathdoc.fr/item/AL_2011_50_5_a4/