| Title:
|
Interdependence of weakened forms of the axiom of choice (English) |
| Author:
|
Jech, Tomáš |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
7 |
| Issue:
|
3 |
| Year:
|
1966 |
| Pages:
|
359-371 |
| . |
| Category:
|
math |
| . |
| MSC:
|
04-30 |
| idZBL:
|
Zbl 0199.02001 |
| idMR:
|
MR0201320 |
| . |
| Date available:
|
2008-06-05T20:23:16Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105069 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/105133 |
| . |
| Reference:
|
[1] A. FRAENKEL: Sur l'axiome du choix.L'Enseignement Math. 34 (1935), 32-51. Zbl 0014.25403 |
| Reference:
|
[2] K. GÖDEL: The Consistency of the Axiom of Choice....Princeton (1940). |
| Reference:
|
[3] P. HÁJEK, P. VOPĚNKA: Some permutation submodels of the model $\nabla $.Bull. Acad. Polon. Sci. 14 (1966) - to appear. MR 0194321 |
| Reference:
|
[4] T. JECH, A. SOCHOR: On $Theta $ -model of set theory.ibid. 14 (1966) - to appear. MR 0202579 |
| Reference:
|
[5] T. JECH, A. SOCHOR: Applications of the $Theta $ -model.ibid. 14 (1966) - to appear. Zbl 0168.01002 |
| Reference:
|
[6] A. LÉVY: The interdependence of certain consequences of the axiom of choice.Fundamenta Math. 54 (1964), 135-157. MR 0162705 |
| Reference:
|
[7] A. MOSTOWSKI: Über die Unabhängigkeit des Wohlordnungasatzes vom Ordnungsprinzip.ibid. 32 (1939), 201-252. |
| Reference:
|
[8] A. MOSTOWSKI: On the principle of dependent choices.ibid. 35 (1948), 127-130. Zbl 0031.28902, MR 0029956 |
| Reference:
|
[9] K. PŘÍKRÝ: The consistency of the continuum hypothedis for the first measurable cardinal.Bull. Acad. Pol. Sci. 13 (1965), 193-197. MR 0181575 |
| Reference:
|
[10] H. RUBIN, J. RUBIN: Equivalents of the Axiom of Choice.North-Holland Publ. Comp., Amsterdam (1963). Zbl 0129.00601, MR 0153590 |
| Reference:
|
[11] E. SPECKER: Zur Axiomatik der Mengenlehre.Zeitschr. f. Math.Logik 3 (1957), 173-210. Zbl 0079.07605, MR 0099297 |
| Reference:
|
[12] A. TARSKI: Axiomatic and algebraic aspects of two theorems on sums of cardinals.Fund. Math. 35 (1948), 79-104. Zbl 0031.28903, MR 0029955 |
| Reference:
|
[13] P. VOPĚNKA: Předsvazek relací, Model $\nabla $.(in Czech, Presheaves of relations, the model $\nabla $), mimeographed, Prague (1964). |
| Reference:
|
[14] P. VOPĚNKA: On $\nabla $ -model of set theory.Bull. Acad. Polon. Sci. 13 (1965), 267-272 . MR 0182571 |
| Reference:
|
[15] P. VOPĚNKA: Properties of $\nabla $ -model.ibid. 13 (1965), 441-444. MR 0189984 |
| Reference:
|
[16] P. VOPĚNKA, P. HÁJEK: Permutation submodels of the model $\nabla $.ibid. 13 (1965), 611-614. MR 0194320 |
| . |
