Measurable cardinals in some Gödelian set theories

Karel Hrbáček

Commentationes Mathematicae Universitatis Carolinae (1966)

  • Volume: 007, Issue: 3, page 343-358
  • ISSN: 0010-2628

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Hrbáček, Karel. "Measurable cardinals in some Gödelian set theories." Commentationes Mathematicae Universitatis Carolinae 007.3 (1966): 343-358. <http://eudml.org/doc/16175>.

@article{Hrbáček1966,
author = {Hrbáček, Karel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {set theory},
language = {eng},
number = {3},
pages = {343-358},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Measurable cardinals in some Gödelian set theories},
url = {http://eudml.org/doc/16175},
volume = {007},
year = {1966},
}

TY - JOUR
AU - Hrbáček, Karel
TI - Measurable cardinals in some Gödelian set theories
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1966
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 007
IS - 3
SP - 343
EP - 358
LA - eng
KW - set theory
UR - http://eudml.org/doc/16175
ER -

References

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  1. K. GÖDEL, The Consistency of the Axiom of Choice..., Princeton University Press, 2nd printing 1951. (1951) 
  2. P. HÁJEK, Syntactic models of axiomatic theories, Bull. Acad. Polon. Sci. 13 (1965), No 4, 273-278. (1965) MR0184857
  3. A. HAJNAL, On a consistency theorem connected with the generalized continuum problem, Acta Math. Acad. Sci. Hungar. 12 (1961), 321-376. (1961) Zbl0102.25001MR0150046
  4. A. LÉVY, A generalization of Gödel's notion of constructibility, Journ. Symb. Logic 25 (1960), No 2, 147-155. (1960) Zbl0119.25204MR0142468
  5. A. LÉVY, Measurable cardinals and the continuum hypothesis, Notices Amer. Math. Soc. 11 (1964), No 7, iss. 78, 769. (1964) 
  6. K. PŘÍKRÝ, The consistency of the continuum hypothesis for the first measurable cardinal, Bull. Acad. Polon. Sci. 13 (1965), No 3, 193-197. (1965) MR0181575
  7. J. R. SHOENFIELD, On the independence of the axiom of constructibility, Amer. Journ. of Math. 81 (1959), 537-540. (1959) Zbl0201.32702MR0106833
  8. R. M. SOLOVAY, Measurable cardinals and the continuum hypothesis, (printed thesis), mimeographed. Zbl0289.02044
  9. P. VOPĚNKA, The limits of sheaves and application on construction of models, Bull. Acad. Polon. Sci. 13 (1965), No 3, 189-192. (1965) MR0182570
  10. P. VOPĚNKA, On ∇ -model of set theory, Bull. Acad. Polon. Sci. 13 (1965), No 4, 267-272. (1965) MR0182571
  11. P. VOPĚNKA, Properties of ∇ -model, Bull. Acad. Polon. Sci. 13 (1965), No 7, 441-444. (1965) MR0189984
  12. P. VOPĚNKA, ∇ -models in which the generalized continuum hypothesis does not hold, Bull. Acad. Polon. Sci. 14 (1966), No 3, 95-99. (1966) MR0200142
  13. P.VOPĚNKA, P. HÁJEK., Permutation submodels of the model ∇ , Bull. Acad. Polon. Sci. 13 (1965), No 9, 611 -614. (1965) Zbl0143.25805MR0194320
  14. P. HÁJEK, P. VOPĚNKA, Some permutation submodels of the model ∇ , Bull. Acad. Polon. Sci. 14 (1966), No 1, 1-7. (1966) MR0194321

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