No CrossRef data available.
Article contents
A characterization of 2-square Ultrafilters
Published online by Cambridge University Press: 12 March 2014
Abstract
The class of 2-square ultrafilters on ω equals the union, for n ≥ 1, of the classes of strictly n Ramsey ultrafilters on ω.
- Type
- Research Article
- Information
- Copyright
- Copyright © Association for Symbolic Logic 1983
References
REFERENCES
[Bl]Blass, A., Ultrafilter mappings and their Dedekind cuts, Transactions of the American Mathematical Society, vol. 188 (1974), pp. 327–340.CrossRefGoogle Scholar
[B2]Blass, A., Amalgamation of non-standard models of arithmetic, this Journal, vol. 42 (1977), pp. 372–386.Google Scholar
[B3]Blass, A., A model-theoretic view of some special ultrafilters, Logic Colloquium 1977 (Pacholski, L., Paris, J., and Maclntyre, A., Editors), North-Holland, Amsterdam, 1978, pp. 79–90.Google Scholar
[B4]Blass, A., Some initial segments of the Rudin-Keisler ordering, this Journal, vol. 46 (1981), pp. 147–157.Google Scholar
[B0]Booth, D., Ultrafilters on a countable set, Annals of Mathematical Logic, vol. 2 (1970/1971), pp. 1–24.CrossRefGoogle Scholar
[D]Daguenet, M., Ultrafilters à la facon de Ramsey, Transactions of the American Mathematical Society, vol. 250 (1979), pp. 91–120.Google Scholar
[K]Kanamori, A., Ultrafilters over a measurable cardinal, Annals of Mathematical Logic, vol. 10 (1976), pp. 315–356.CrossRefGoogle Scholar
[P]Purttz, C., Ultrafilters and standard functions in non-standard arithmetic, Proceedings of the London Mathematical Society (3), vol. 22 (1971), pp. 705–733.CrossRefGoogle Scholar
[R]Rosen, N., Weakly Ramsey P points, Transactions of the American Mathematical Society, vol. 269 (1982), pp. 415–428.Google Scholar