Geodesic
A Countable Definable Set Containing no Definable Elements
Matematičeskie zametki, Tome 102 (2017) no. 3, pp. 369-382

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

The consistency of the existence of a countable definable set of reals, containing no definable elements, is established. The model, where such a set exists, is obtained by means of a countable product of Jensen's forcing with finite support.
Keywords: countable sets, Jensen's forcing.
Mots-clés : definable elements 
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     author = {V. G. Kanovei and V. A. Lyubetskii},
     title = {A {Countable} {Definable} {Set} {Containing} no {Definable} {Elements}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {369--382},
     publisher = {mathdoc},
     volume = {102},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_3_a3/}
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V. G. Kanovei; V. A. Lyubetskii. A Countable Definable Set Containing no Definable Elements. Matematičeskie zametki, Tome 102 (2017) no. 3, pp. 369-382. http://geodesic.mathdoc.fr/item/MZM_2017_102_3_a3/