Non-provability of Souslin's hypothesis

Tomáš Jech

Commentationes Mathematicae Universitatis Carolinae (1967)

  • Volume: 008, Issue: 2, page 291-305
  • ISSN: 0010-2628

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Jech, Tomáš. "Non-provability of Souslin's hypothesis." Commentationes Mathematicae Universitatis Carolinae 008.2 (1967): 291-305. <http://eudml.org/doc/16215>.

@article{Jech1967,
author = {Jech, Tomáš},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {2},
pages = {291-305},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Non-provability of Souslin's hypothesis},
url = {http://eudml.org/doc/16215},
volume = {008},
year = {1967},
}

TY - JOUR
AU - Jech, Tomáš
TI - Non-provability of Souslin's hypothesis
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1967
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 008
IS - 2
SP - 291
EP - 305
LA - eng
UR - http://eudml.org/doc/16215
ER -

References

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  1. P. J. COHEN, The independence of the axiom of choice, mimeographed, Stanford Univ. 1963. (1963) 
  2. K. GÖDEL, The consistency of the axiom of choice [ ...], Princeton Univ. Press 1940. (1940) 
  3. P. HÁJEK, P. VOPĚNKA, Some permutation submodels of the model ∇ , Bull. Acad. Polon. Sci. 14 (1966), 1-7. (1966) MR0194321
  4. A. HAJHAL, On a consistency theorem connected with the generalized continuum problem, Zeitschr. Math. Logik 2 (1956), 131-136. (1956) MR0091914
  5. T. JECH, P. VOPĚNKA, Generalized Souslin's hypothesis, to appear in Zeitschr. math. Logik. 
  6. A. S. JESENIN, VOL'PIN, Nedokazuemost gipotezy Suslina bez pomošči aksiomy vybora [...], (in Russian), Doklady Akad. Nauk SSSR 96 (1954), 9-12. (1954) MR0062694
  7. P. KUREPA, L'hypothèse de ramification, Comptes Rendus Acad. Sci. Paris 202 (1936), 185-187. (1936) Zbl0014.39402
  8. A. LÉVY, Indépendence conditionnelle de V = L [.. ], ibid., 245 (1957), 1582-3. (1957) MR0089155
  9. A. LÉVY, A generalization of Gödel's notion of constructibility, Journ. Symb. Logic 25 (1960), 147-155. (1960) Zbl0119.25204MR0142468
  10. E. W. MILLER, A note on Souslin's problem, Amer. Journ. Math. 65 (1943), 673-678. (1943) Zbl0060.12701MR0009615
  11. J. R. SHOENFIELD, On the independence of the axiom of constructibility, ibid., 81 (1959), 537-540. (1959) Zbl0201.32702MR0106833
  12. W. SIERPIŃSKI, Sur un problème de la théorie générale des ensembles équivalent au problème de Souslin, Fund. Math. 35 (1948), 165-174. (1948) MR0027817
  13. M. J. SOUSLIN, Problème 3, ibid., 1 (1920), 223. (1920) 
  14. P. VOPĚNKA, The limit of sheaves [...], Bull. Acad. Polon. Sci. 13 (1965), 189-192. (1965) MR0182570
  15. P. VOPĚNKA, On ∇ -model of set theory, ibid., 13 (1965), 267-272. (1965) MR0182571
  16. P. VOPĚNKA, Properties of ∇ -model, ibid., 13 (1965), 441-444. (1965) MR0189984
  17. P. VOPĚNKA, ∇ -models in which GCH does not hold, ibid., 14 (1966), 95-99. (1966) MR0200142
  18. P. VOPĚNKA, General theory of ∇ -models, Comment. Math. Univ. Carolinae 8 (1967). (1967) MR0214460

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