Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/149017
Authors: 
Herzberg, Frederik
Year of Publication: 
2016
Series/Report no.: 
Working Papers, Center for Mathematical Economics 560
Abstract: 
¡os's theorem for (bounded) D-ultrapowers, D being the ultrafilter introduced by Kanovei and Shelah [Journal of Symbolic Logic, 69(1):159-164, 2004], can be established within Zermelo-Fraenkel set theory plus Countable Choice (ZF+ACw). Thus, the Transfer Principle for both Kanovei and Shelah's definable nonstandard model of the reals and Herzberg's definable nonstandard enlargement of the superstructure over the reals [Mathematical Logic Quarterly, 54(2):167-175; 54(6):666- 667, 2008] can be shown in ZF+ACw. This establishes a conjecture by Mikhail Katz [personal communication].
Subjects: 
Nonstandard model of the reals
definability
superstructure
bounded ultrapower
elementary embedding
Transfer Principle
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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