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Remarks on some theorems of Keisler

Published online by Cambridge University Press:  12 March 2014

Per Lindström
Per Lindström*
Affiliation:
University of Gothenburg
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Extract

This paper is an appendix to Keisler's papers [3], [4]. We assume that the reader is fully acquainted with these papers and use their terminology without further explanation. One of the main tools in a number of proofs in [4] is the following result which is all but stated explicitly in [4].

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 33 , Issue 4 , January 1969 , pp. 571 - 576
Copyright
Copyright © Association for Symbolic Logic 1969

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References

[1]Chang, C. C., A simple proof of the Rabin-Keisler theorem, Bulletin of the American Mathematical Society, vol. 71 (1965), pp. 642–643.CrossRefGoogle Scholar
[2]Craig, W., Relative characterizability and generalized existential quantifiers, American Mathematical Society Notices, vol. 9 (1962), p. 153.Google Scholar
[3]Keisler, H. J., Limit ultrapowers, Transactions of the American Mathematical Society, vol. 107 (1963), pp. 382–408.CrossRefGoogle Scholar
[4]Keisler, H. J., Limit ultraproducts, this Journal, vol. 30 (1965), pp. 212–234.Google Scholar
[5]Rabin, M. O., Arithmetical extensions with prescribed cardinality, Indagationes mathematicae, vol. 21 (1959), pp. 439–446.CrossRefGoogle Scholar