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Some two-cardinal results for O-minimal theories

Published online by Cambridge University Press:  12 March 2014

Timothy Bays
Timothy Bays*
Affiliation:
Department of Philosophy, Yale University, P. O. Box 208306, New Haven, CT 06520-8306, USA, E-mail: timothy.bays@yale.edu
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Abstract

We examine two-cardinal problems for the class of O-minimal theories. We prove that an O-minimal theory which admits some (κ, λ) must admit every (κ′, λ′). We also prove that every “reasonable” variant of Chang's Conjecture is true for O-minimal structures. Finally, we generalize these results from the two-cardinal case to the δ-cardinal case for arbitrary ordinals δ.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 63 , Issue 2 , June 1998 , pp. 543 - 548
Copyright
Copyright © Association for Symbolic Logic 1998

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References

REFERENCES

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