Geodesic
An arithmetical examples of a non-Borel Luzin analytic set
Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 525-534 
M. A. Lunina. An arithmetical examples of a non-Borel Luzin analytic set. Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 525-534. http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a7/
@article{MZM_1977_22_4_a7,
     author = {M. A. Lunina},
     title = {An arithmetical examples of {a~non-Borel} {Luzin} analytic set},
     journal = {Matemati\v{c}eskie zametki},
     pages = {525--534},
     year = {1977},
     volume = {22},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a7/}
}
TY  - JOUR
AU  - M. A. Lunina
TI  - An arithmetical examples of a non-Borel Luzin analytic set
JO  - Matematičeskie zametki
PY  - 1977
SP  - 525
EP  - 534
VL  - 22
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a7/
LA  - ru
ID  - MZM_1977_22_4_a7
ER  - 
%0 Journal Article
%A M. A. Lunina
%T An arithmetical examples of a non-Borel Luzin analytic set
%J Matematičeskie zametki
%D 1977
%P 525-534
%V 22
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a7/
%G ru
%F MZM_1977_22_4_a7

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

N. N. Luzin has constructed a sieve defining a screened non-Borel analytic set and has indicated the arithmetical properties of points of this set. In this article it is shown that a screened analytic set contains continuum number of points which do not have these arithmetical properties. Necessary and sufficient arithmetical conditions on points are found, under which they lie in a Luzin set screened by a sieve.