Title:
|
Measurable cardinals in some Gödelian set theories (English) |
Author:
|
Hrbáček, Karel |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
7 |
Issue:
|
3 |
Year:
|
1966 |
Pages:
|
343-358 |
. |
Category:
|
math |
. |
MSC:
|
02-68 |
idZBL:
|
Zbl 0158.26201 |
idMR:
|
MR0209146 |
. |
Date available:
|
2008-06-05T20:23:13Z |
Last updated:
|
2012-04-27 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105068 |
. |
Reference:
|
[1] K. GÖDEL: The Consistency of the Axiom of Choice....Princeton University Press, 2nd printing 1951. |
Reference:
|
[2] P. HÁJEK: Syntactic models of axiomatic theories.Bull. Acad. Polon. Sci. 13 (1965), No 4, 273-278. MR 0184857 |
Reference:
|
[3] A. HAJNAL: On a consistency theorem connected with the generalized continuum problem.Acta Math. Acad. Sci. Hungar. 12 (1961), 321-376. Zbl 0102.25001, MR 0150046 |
Reference:
|
[4] A. LÉVY: A generalization of Gödel's notion of constructibility.Journ. Symb. Logic 25 (1960), No 2, 147-155. Zbl 0119.25204, MR 0142468 |
Reference:
|
[5] A. LÉVY: Measurable cardinals and the continuum hypothesis.Notices Amer. Math. Soc. 11 (1964), No 7, iss. 78, 769. |
Reference:
|
[6] K. PŘÍKRÝ: The consistency of the continuum hypothesis for the first measurable cardinal.Bull. Acad. Polon. Sci. 13 (1965), No 3, 193-197. MR 0181575 |
Reference:
|
[7] J. R. SHOENFIELD: On the independence of the axiom of constructibility.Amer. Journ. of Math. 81 (1959), 537-540. Zbl 0201.32702, MR 0106833 |
Reference:
|
[8] R. M. SOLOVAY: Measurable cardinals and the continuum hypothesis.(printed thesis), mimeographed. Zbl 0289.02044 |
Reference:
|
[9] P. VOPĚNKA: The limits of sheaves and application on construction of models.Bull. Acad. Polon. Sci. 13 (1965), No 3, 189-192. MR 0182570 |
Reference:
|
[10] P. VOPĚNKA: On $\nabla $-model of set theory.Bull. Acad. Polon. Sci. 13 (1965), No 4, 267-272. MR 0182571 |
Reference:
|
[11] P. VOPĚNKA: Properties of $\nabla $-model.Bull. Acad. Polon. Sci. 13 (1965), No 7, 441-444. MR 0189984 |
Reference:
|
[12] P. VOPĚNKA: $\nabla $-models in which the generalized continuum hypothesis does not hold.Bull. Acad. Polon. Sci. 14 (1966), No 3, 95-99. MR 0200142 |
Reference:
|
[13] P.VOPĚNKA, P. HÁJEK.: Permutation submodels of the model $\nabla $.Bull. Acad. Polon. Sci. 13 (1965), No 9, 611 -614. Zbl 0143.25805, MR 0194320 |
Reference:
|
[14] P. HÁJEK, P. VOPĚNKA: Some permutation submodels of the model $\nabla $.Bull. Acad. Polon. Sci. 14 (1966), No 1, 1-7. MR 0194321 |
. |