| Title:
|
Non-provability of Souslin's hypothesis (English) |
| Author:
|
Jech, Tomáš |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
8 |
| Issue:
|
2 |
| Year:
|
1967 |
| Pages:
|
291-305 |
| . |
| Category:
|
math |
| . |
| MSC:
|
04-15 |
| MSC:
|
06-00 |
| MSC:
|
54Axx |
| idZBL:
|
Zbl 0204.00701 |
| idMR:
|
MR0215729 |
| . |
| Date available:
|
2008-06-05T20:25:06Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105112 |
| . |
| Reference:
|
[1] P. J. COHEN: The independence of the axiom of choice.mimeographed, Stanford Univ. 1963. |
| Reference:
|
[2] K. GÖDEL: The consistency of the axiom of choice [ ...].Princeton Univ. Press 1940. |
| Reference:
|
[3] P. HÁJEK, P. VOPĚNKA: Some permutation submodels of the model $\nabla $.Bull. Acad. Polon. Sci. 14 (1966), 1-7. MR 0194321 |
| Reference:
|
[4] A. HAJHAL: On a consistency theorem connected with the generalized continuum problem.Zeitschr. Math. Logik 2 (1956), 131-136. MR 0091914 |
| Reference:
|
[5] T. JECH, P. VOPĚNKA: Generalized Souslin's hypothesis.to appear in Zeitschr. math. Logik. |
| Reference:
|
[6] A. S. JESENIN, VOL'PIN: Nedokazuemost gipotezy Suslina bez pomošči aksiomy vybora [...].(in Russian), Doklady Akad. Nauk SSSR 96 (1954), 9-12. MR 0062694 |
| Reference:
|
[7] P. KUREPA: L'hypothèse de ramification.Comptes Rendus Acad. Sci. Paris 202 (1936), 185-187. Zbl 0014.39402 |
| Reference:
|
[8] A. LÉVY: Indépendence conditionnelle de $V=L$ [.. ].ibid., 245 (1957), 1582-3. MR 0089155 |
| Reference:
|
[9] A. LÉVY: A generalization of Gödel's notion of constructibility.Journ. Symb. Logic 25 (1960), 147-155. Zbl 0119.25204, MR 0142468 |
| Reference:
|
[10] E. W. MILLER: A note on Souslin's problem.Amer. Journ. Math. 65 (1943), 673-678. Zbl 0060.12701, MR 0009615 |
| Reference:
|
[11] J. R. SHOENFIELD: On the independence of the axiom of constructibility.ibid., 81 (1959), 537-540. Zbl 0201.32702, MR 0106833 |
| Reference:
|
[12] W. SIERPIŃSKI: Sur un problème de la théorie générale des ensembles équivalent au problème de Souslin.Fund. Math. 35 (1948), 165-174. MR 0027817 |
| Reference:
|
[13] M. J. SOUSLIN: Problème 3.ibid., 1 (1920), 223. |
| Reference:
|
[14] P. VOPĚNKA: The limit of sheaves [...].Bull. Acad. Polon. Sci. 13 (1965), 189-192. MR 0182570 |
| Reference:
|
[15] P. VOPĚNKA: On $\nabla $-model of set theory.ibid., 13 (1965), 267-272. MR 0182571 |
| Reference:
|
[16] P. VOPĚNKA: Properties of $\nabla $ -model.ibid., 13 (1965), 441-444. MR 0189984 |
| Reference:
|
[17] P. VOPĚNKA: $\nabla $ -models in which GCH does not hold.ibid., 14 (1966), 95-99. MR 0200142 |
| Reference:
|
[18] P. VOPĚNKA: General theory of $\nabla $ -models.Comment. Math. Univ. Carolinae 8 (1967). MR 0214460 |
| . |
