MINIMAL AXIOMATIC FRAMEWORKS FOR DEFINABLE HYPERREALS WITH TRANSFER

Herzberg F, Kanovei V, Katz M, Lyubetsky V (2018)
JOURNAL OF SYMBOLIC LOGIC 83(1): 385-391.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Herzberg, FrederikUniBi ; Kanovei, Vladimir; Katz, Mikhail; Lyubetsky, Vassily
Abstract / Bemerkung
We modify the definable ultrapower construction of Kanovei and Shelah (2004) to develop a ZF-definable extension of the continuum with transfer provable using countable choice only, with an additional mild hypothesis on well-ordering implying properness. Under the same assumptions, we also prove the existence of a definable, proper elementary extension of the standard superstructure over the reals.
Stichworte
definability; hyperreal; superstructure
Erscheinungsjahr
2018
Zeitschriftentitel
JOURNAL OF SYMBOLIC LOGIC
Band
83
Ausgabe
1
Seite(n)
385-391
ISSN
0022-4812
eISSN
1943-5886
Page URI
https://pub.uni-bielefeld.de/record/2920345

Zitieren

Herzberg F, Kanovei V, Katz M, Lyubetsky V. MINIMAL AXIOMATIC FRAMEWORKS FOR DEFINABLE HYPERREALS WITH TRANSFER. JOURNAL OF SYMBOLIC LOGIC. 2018;83(1):385-391.
Herzberg, F., Kanovei, V., Katz, M., & Lyubetsky, V. (2018). MINIMAL AXIOMATIC FRAMEWORKS FOR DEFINABLE HYPERREALS WITH TRANSFER. JOURNAL OF SYMBOLIC LOGIC, 83(1), 385-391. doi:10.1017/jsl.2017.48
Herzberg, F., Kanovei, V., Katz, M., and Lyubetsky, V. (2018). MINIMAL AXIOMATIC FRAMEWORKS FOR DEFINABLE HYPERREALS WITH TRANSFER. JOURNAL OF SYMBOLIC LOGIC 83, 385-391.
Herzberg, F., et al., 2018. MINIMAL AXIOMATIC FRAMEWORKS FOR DEFINABLE HYPERREALS WITH TRANSFER. JOURNAL OF SYMBOLIC LOGIC, 83(1), p 385-391.
F. Herzberg, et al., “MINIMAL AXIOMATIC FRAMEWORKS FOR DEFINABLE HYPERREALS WITH TRANSFER”, JOURNAL OF SYMBOLIC LOGIC, vol. 83, 2018, pp. 385-391.
Herzberg, F., Kanovei, V., Katz, M., Lyubetsky, V.: MINIMAL AXIOMATIC FRAMEWORKS FOR DEFINABLE HYPERREALS WITH TRANSFER. JOURNAL OF SYMBOLIC LOGIC. 83, 385-391 (2018).
Herzberg, Frederik, Kanovei, Vladimir, Katz, Mikhail, and Lyubetsky, Vassily. “MINIMAL AXIOMATIC FRAMEWORKS FOR DEFINABLE HYPERREALS WITH TRANSFER”. JOURNAL OF SYMBOLIC LOGIC 83.1 (2018): 385-391.

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