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References
K. Gödel,The consistency of the axiom of choice and of the generalized continuum hypothesis with the axioms of set theory, Annals of Mathematics studies, No. 3 (Princeton, 1940).
I. C. Shepherdson, Inner models for set theory. I,Journal of Symbolic Logic,16 (1951), pp. 161–190.
А. С. Есенин-Волвпин, Недоказуемость гипотези Суслина без помощи аксиома вьібора в системе Бернайса-Мостовского, ДАН СССР96 (1954), pp. 9–13.
A. Tarski, Quelques théorèmes sur les alephs,Fund. Math. 7 (1927), pp. 1–14.
W. Markwald, Zur Theorie der konstruktiven Wohlordnungen,Math. Annalen,127 (1954), pp. 135–149.
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This paper contains the detailed proofs of the results of the author's dissertation submitted in fulfilment of the requirements for the degree of Candidate of Mathematical Sciences. A preliminary report containing these results has been published in theZeitschrift f. Math. Logik und Grundlagen d. Math.,2 (1956), pp. 131–136.
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Hajnal, A. On a consistency theorem connected with the generalized continuum problem. Acta Mathematica Academiae Scientiarum Hungaricae 12, 321–376 (1964). https://doi.org/10.1007/BF02023921
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DOI: https://doi.org/10.1007/BF02023921