A definable nonstandard enlargement
Herzberg F (2008)
MATHEMATICAL LOGIC QUARTERLY 54(2): 167-175.
Zeitschriftenaufsatz
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Abstract / Bemerkung
This article establishes the existence of a definable (over ZFC), countably saturated nonstandard enlargement of the superstructure over the reals. This nonstandard universe is obtained as the union of an inductive chain of bounded ultrapowers (i.e. bounded with respect to the superstructure hierarchy). The underlying ultrafilter is the one constructed by Kanovei and Shelah [10]. (C) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Stichworte
nonstandard universe;
superstructure;
ultrapower;
elementary embedding;
definability
Erscheinungsjahr
2008
Zeitschriftentitel
MATHEMATICAL LOGIC QUARTERLY
Band
54
Ausgabe
2
Seite(n)
167-175
ISSN
0942-5616
eISSN
1521-3870
Page URI
https://pub.uni-bielefeld.de/record/1588418
Zitieren
Herzberg F. A definable nonstandard enlargement. MATHEMATICAL LOGIC QUARTERLY. 2008;54(2):167-175.
Herzberg, F. (2008). A definable nonstandard enlargement. MATHEMATICAL LOGIC QUARTERLY, 54(2), 167-175. https://doi.org/10.1002/malq.200710022
Herzberg, Frederik. 2008. “A definable nonstandard enlargement”. MATHEMATICAL LOGIC QUARTERLY 54 (2): 167-175.
Herzberg, F. (2008). A definable nonstandard enlargement. MATHEMATICAL LOGIC QUARTERLY 54, 167-175.
Herzberg, F., 2008. A definable nonstandard enlargement. MATHEMATICAL LOGIC QUARTERLY, 54(2), p 167-175.
F. Herzberg, “A definable nonstandard enlargement”, MATHEMATICAL LOGIC QUARTERLY, vol. 54, 2008, pp. 167-175.
Herzberg, F.: A definable nonstandard enlargement. MATHEMATICAL LOGIC QUARTERLY. 54, 167-175 (2008).
Herzberg, Frederik. “A definable nonstandard enlargement”. MATHEMATICAL LOGIC QUARTERLY 54.2 (2008): 167-175.
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