Measurable cardinals in some Gödelian set theories
Hrbáček, Karel
Commentationes Mathematicae Universitatis Carolinae, Tome 007 (1966), p. 343-358 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1966-01-01
Classification:  02-68 
@article{105068,
     author = {Karel Hrb\'a\v cek},
     title = {Measurable cardinals in some G\"odelian set theories},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {007},
     year = {1966},
     pages = {343-358},
     zbl = {0158.26201},
     mrnumber = {0209146},
     language = {en},
     url = {http://dml.mathdoc.fr/item/105068}
}

Hrbáček, Karel. Measurable cardinals in some Gödelian set theories. Commentationes Mathematicae Universitatis Carolinae, Tome 007 (1966) pp. 343-358. http://gdmltest.u-ga.fr/item/105068/

K. Gödel The Consistency of the Axiom of Choice..., Princeton University Press, 2nd printing 1951. (1951)

P. Hájek Syntactic models of axiomatic theories, Bull. Acad. Polon. Sci. 13 (1965), No 4, 273-278. (1965) | MR 0184857

A. Hajnal On a consistency theorem connected with the generalized continuum problem, Acta Math. Acad. Sci. Hungar. 12 (1961), 321-376. (1961) | MR 0150046 | Zbl 0102.25001

A. Lévy A generalization of Gödel's notion of constructibility, Journ. Symb. Logic 25 (1960), No 2, 147-155. (1960) | MR 0142468 | Zbl 0119.25204

A. Lévy Measurable cardinals and the continuum hypothesis, Notices Amer. Math. Soc. 11 (1964), No 7, iss. 78, 769. (1964)

K. Příkrý The consistency of the continuum hypothesis for the first measurable cardinal, Bull. Acad. Polon. Sci. 13 (1965), No 3, 193-197. (1965) | MR 0181575

J. R. Shoenfield On the independence of the axiom of constructibility, Amer. Journ. of Math. 81 (1959), 537-540. (1959) | MR 0106833 | Zbl 0201.32702

R. M. Solovay Measurable cardinals and the continuum hypothesis, (printed thesis), mimeographed. | Zbl 0289.02044

P. Vopěnka The limits of sheaves and application on construction of models, Bull. Acad. Polon. Sci. 13 (1965), No 3, 189-192. (1965) | MR 0182570

P. Vopěnka On $\nabla $-model of set theory, Bull. Acad. Polon. Sci. 13 (1965), No 4, 267-272. (1965) | MR 0182571

P. Vopěnka Properties of $\nabla $-model, Bull. Acad. Polon. Sci. 13 (1965), No 7, 441-444. (1965) | MR 0189984

P. Vopěnka $\nabla $-models in which the generalized continuum hypothesis does not hold, Bull. Acad. Polon. Sci. 14 (1966), No 3, 95-99. (1966) | MR 0200142

P.Vopěnka; P. Hájek. Permutation submodels of the model $\nabla $, Bull. Acad. Polon. Sci. 13 (1965), No 9, 611 -614. (1965) | MR 0194320 | Zbl 0143.25805

P. Hájek; P. Vopěnka Some permutation submodels of the model $\nabla $, Bull. Acad. Polon. Sci. 14 (1966), No 1, 1-7. (1966) | MR 0194321