Interdependence of weakened forms of the axiom of choice

Tomáš Jech

Commentationes Mathematicae Universitatis Carolinae (1966)

  • Volume: 007, Issue: 3, page 359-371
  • ISSN: 0010-2628

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Jech, Tomáš. "Interdependence of weakened forms of the axiom of choice." Commentationes Mathematicae Universitatis Carolinae 007.3 (1966): 359-371. <http://eudml.org/doc/16176>.

@article{Jech1966,
author = {Jech, Tomáš},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {set theory},
language = {eng},
number = {3},
pages = {359-371},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Interdependence of weakened forms of the axiom of choice},
url = {http://eudml.org/doc/16176},
volume = {007},
year = {1966},
}

TY - JOUR
AU - Jech, Tomáš
TI - Interdependence of weakened forms of the axiom of choice
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1966
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 007
IS - 3
SP - 359
EP - 371
LA - eng
KW - set theory
UR - http://eudml.org/doc/16176
ER -

References

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  1. A. FRAENKEL, Sur l'axiome du choix, L'Enseignement Math. 34 (1935), 32-51. (1935) Zbl0014.25403
  2. K. GÖDEL, The Consistency of the Axiom of Choice..., Princeton (1940). (1940) 
  3. P. HÁJEK, P. VOPĚNKA, Some permutation submodels of the model ∇ , Bull. Acad. Polon. Sci. 14 (1966) - to appear. (1966) MR0194321
  4. T. JECH, A. SOCHOR, On T h e t a -model of set theory, ibid. 14 (1966) - to appear. (1966) MR0202579
  5. T. JECH, A. SOCHOR, Applications of the T h e t a -model, ibid. 14 (1966) - to appear. (1966) Zbl0168.01002
  6. A. LÉVY, The interdependence of certain consequences of the axiom of choice, Fundamenta Math. 54 (1964), 135-157. (1964) MR0162705
  7. A. MOSTOWSKI, Über die Unabhängigkeit des Wohlordnungasatzes vom Ordnungsprinzip, ibid. 32 (1939), 201-252. (1939) 
  8. A. MOSTOWSKI, On the principle of dependent choices, ibid. 35 (1948), 127-130. (1948) Zbl0031.28902MR0029956
  9. K. PŘÍKRÝ, The consistency of the continuum hypothedis for the first measurable cardinal, Bull. Acad. Pol. Sci. 13 (1965), 193-197. (1965) MR0181575
  10. H. RUBIN, J. RUBIN, Equivalents of the Axiom of Choice, North-Holland Publ. Comp., Amsterdam (1963). (1963) Zbl0129.00601MR0153590
  11. E. SPECKER, Zur Axiomatik der Mengenlehre, Zeitschr. f. Math.Logik 3 (1957), 173-210. (1957) Zbl0079.07605MR0099297
  12. A. TARSKI, Axiomatic and algebraic aspects of two theorems on sums of cardinals, Fund. Math. 35 (1948), 79-104. (1948) Zbl0031.28903MR0029955
  13. P. VOPĚNKA, Předsvazek relací, Model ∇ , (in Czech, Presheaves of relations, the model ), mimeographed, Prague (1964). (1964) 
  14. P. VOPĚNKA, On ∇ -model of set theory, Bull. Acad. Polon. Sci. 13 (1965), 267-272 . (1965) MR0182571
  15. P. VOPĚNKA, Properties of ∇ -model, ibid. 13 (1965), 441-444. (1965) MR0189984
  16. P. VOPĚNKA, P. HÁJEK, Permutation submodels of the model ∇ , ibid. 13 (1965), 611-614. (1965) MR0194320

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