Geodesic
Interdependence of weakened forms of the axiom of choice
Commentationes Mathematicae Universitatis Carolinae, Tome 7 (1966) no. 3, pp. 359-371 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 04-30 
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Jech, Tomáš. Interdependence of weakened forms of the axiom of choice. Commentationes Mathematicae Universitatis Carolinae, Tome 7 (1966) no. 3, pp. 359-371. http://geodesic.mathdoc.fr/item/CMUC_1966_7_3_a10/

[1] A. FRAENKEL: Sur l'axiome du choix. L'Enseignement Math. 34 (1935), 32-51. | Zbl

[2] K. GÖDEL: The Consistency of the Axiom of Choice... Princeton (1940).

[3] P. HÁJEK, P. VOPĚNKA: Some permutation submodels of the model $\nabla $. Bull. Acad. Polon. Sci. 14 (1966) - to appear. | MR

[4] T. JECH, A. SOCHOR: On $Theta $ -model of set theory. ibid. 14 (1966) - to appear. | MR

[5] T. JECH, A. SOCHOR: Applications of the $Theta $ -model. ibid. 14 (1966) - to appear. | Zbl

[6] A. LÉVY: The interdependence of certain consequences of the axiom of choice. Fundamenta Math. 54 (1964), 135-157. | MR

[7] A. MOSTOWSKI: Über die Unabhängigkeit des Wohlordnungasatzes vom Ordnungsprinzip. ibid. 32 (1939), 201-252.

[8] A. MOSTOWSKI: On the principle of dependent choices. ibid. 35 (1948), 127-130. | MR | Zbl

[9] K. PŘÍKRÝ: The consistency of the continuum hypothedis for the first measurable cardinal. Bull. Acad. Pol. Sci. 13 (1965), 193-197. | MR

[10] H. RUBIN, J. RUBIN: Equivalents of the Axiom of Choice. North-Holland Publ. Comp., Amsterdam (1963). | MR | Zbl

[11] E. SPECKER: Zur Axiomatik der Mengenlehre. Zeitschr. f. Math.Logik 3 (1957), 173-210. | MR | Zbl

[12] A. TARSKI: Axiomatic and algebraic aspects of two theorems on sums of cardinals. Fund. Math. 35 (1948), 79-104. | MR | Zbl

[13] P. VOPĚNKA: Předsvazek relací, Model $\nabla $. (in Czech, Presheaves of relations, the model $\nabla $), mimeographed, Prague (1964).

[14] P. VOPĚNKA: On $\nabla $ -model of set theory. Bull. Acad. Polon. Sci. 13 (1965), 267-272 . | MR

[15] P. VOPĚNKA: Properties of $\nabla $ -model. ibid. 13 (1965), 441-444. | MR

[16] P. VOPĚNKA, P. HÁJEK: Permutation submodels of the model $\nabla $. ibid. 13 (1965), 611-614. | MR