Title:
|
Ultraproducts and the axiom of choice (English) |
Author:
|
Brunner, Norbert |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
22 |
Issue:
|
4 |
Year:
|
1986 |
Pages:
|
175-180 |
. |
Category:
|
math |
. |
MSC:
|
03C20 |
MSC:
|
03E25 |
MSC:
|
54A25 |
MSC:
|
54A35 |
idZBL:
|
Zbl 0642.03029 |
idMR:
|
MR868531 |
. |
Date available:
|
2008-06-06T06:16:28Z |
Last updated:
|
2012-05-09 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107262 |
. |
Reference:
|
[1] A. Blass: A model without ultrafilters.Bull. Acad. Polon. 25 (1977), 329-331. Zbl 0365.02054, MR 0476510 |
Reference:
|
[2] N. Brunner: Lindelöf-Räume und Auswahlaxiom.Anzeiger Akad. Wiss. Wien 119 (1982), 161-165. MR 0728812 |
Reference:
|
[3] N. Brunner: Hilberträume mit amorphen Basen.Compositio Math. 52 (1984) 381-387. Zbl 0554.47001, MR 0756729 |
Reference:
|
[4] J. D. Halpern: On a question of Tarski and a theorem of Kurepa.Pacific J. Math. 41 (1972), 111-121. MR 0307912 |
Reference:
|
[5] J. L. Hickman: Groups in models of set theory.Bull. Australian Math. Soc. 14 (1976), 199-232. Zbl 0324.02055, MR 0409178 |
Reference:
|
[6] P. E. Howard: Loš theorem and the BPI imply AC.Proc. A.M.S. 49 (1975), 426-428. MR 0384548 |
Reference:
|
[7] T. Jech: The Axiom of Choice.New York 1973. Zbl 0259.02052, MR 0396271 |
Reference:
|
[8] A. Levy: Axioms of Multiple Choice.Fundamenta Math. 59 (1962), 475-483. Zbl 0134.24805, MR 0139528 |
Reference:
|
[9] G. P. Monro: Generic Extensions without AC.J. Symbolic Logic 48 (1983), 39-52. MR 0693246 |
Reference:
|
[10] D. Pincus: Strength of the Hahn Banach Theorem.in Victoria Symp. Nonstandard Analysis, Springer LN 369 (1972). MR 0476512 |
Reference:
|
[11] H. Rubin J. E. Rubin: Equivalents of AC II.North Holland P.C. (1985). |
. |