In the paper
Eléments de la méthode de forcing dans quelques travaux de N. N. Lousin. (French) [Elements of the method of forcing in some papers of N. N. Luzin] Amphora, 469–479, Birkhäuser, Basel, 1992.
Fedor Medvedev has claimed the following:
P. Cohen, who proved the independence of the axiom of choice and of the generalized continuum hypothesis by the method of forcing, did not invent this method, but discovered it in the works of his predecessors. The aim of the paper is to indicate some elements of the method in the works of N. N. Luzin.
I could find the paper, but it is in French, and so I could not read it.
Does anyone know how the work of Luzin is related to forcing?
The following papers of Luzin are mentioned in the above paper:
- LOUZIN, N.: Sur un probleme de M. Baire. Comptes rend. de l'Acad. sei. de Paris 158 (1914),1258-
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- LOUZIN, N. N.: Sur une theoreme de Baire. ffiuvres completes. Moscou: Mit. Acad. des Seiences de l'U.R.S.S., v. 11, 1958, pp. 683-685.
- LOUZINE, N.: Sur l'existance d'un ensemble nondenombrable qui est de premiere categorie sur tout ensemble parfait. Fund. Math. 2 (1921), 155-157.
- LOUZINE, N. N.: Sur l'existance de l'ensemble de premiere categorie dans tout ensemble parfait. ffiuvres completes. Moscou: Mit. Acad. des Seiences de l'U.R.S.S., v. 11, 1958, pp. 692-694.
LOUZINE, N.: Sur une question concemant la propriete de Baire. Fund. Math. 9 (1927), 116-118.-LOUZINE, N. N.: Sur un point, concernant la propriete de Baire. <Euvres completes. Moscou: Mit. Acad. des Sciences de l'U.R.S.S., v. H, 1958, pp. 695-696.
LOUZINE, N.: Sur les ensembles toujours de premiere categorie. Fund. Math. 21 (1933), 114-126.
- LOUZINE, N. N.: Sur les ensembles toujours de la premiere categorie. <Euvres completes. Moscou: Mit. Acad. des Sciences de l'U.R.S.S., v. H, 1958, pp. 689-708.
- LOUZINE, N., SERPINSKI, W.: Sur un ensemble non-denombrable qui est de premiere categorie sur tout ensemble parfait. Atti della R. Acad. dei LinceL Serie 6. 7 (1928), 214-215. - LOUZINE, N. N., SERPINSKI, W.: Sur l'ensemble denombrable, etant l'ensemble de premiere categorie sur tout ensemble parfait. <Euvres. completes. Moscou: Mit. Acad. des Sciences de l'U.R.S.S., v. H, 1958, pp. 697-698.
Are there any English translation of the above papers of Luzin?