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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
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Category: math
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MSC: 03C20
MSC: 03E25
MSC: 54A25
MSC: 54A35
idZBL: Zbl 0642.03029
idMR: MR868531
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Date available: 2008-06-06T06:16:28Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107262
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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).
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