Geodesic
Singular cardinals
Matematičeskie zametki, Tome 13 (1973) no. 5, pp. 717-724.

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The problem is studied of the existence of nonconstructive subsets of cardinals belonging to an original countable standard transitive model of $ZF$ theory of sets that do not generate new subsets of smaller cardinals of this same model. It is found that a fairly extensive class of properties of the extended model is closely related to the corresponding properties of the original model. 
@article{MZM_1973_13_5_a10,
     author = {V. Kanovei},
     title = {Singular cardinals},
     journal = {Matemati\v{c}eskie zametki},
     pages = {717--724},
     publisher = {mathdoc},
     volume = {13},
     number = {5},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_5_a10/}
}
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V. Kanovei. Singular cardinals. Matematičeskie zametki, Tome 13 (1973) no. 5, pp. 717-724. http://geodesic.mathdoc.fr/item/MZM_1973_13_5_a10/