Keywords
- Regular Cardinal
- Measurable Cardinal
- Ultra Filter
- Limit Cardinal
- Inaccessible Cardinal
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Chang, C. C., Descendingly incomplete ultrafilters, Trans. Amer. Math. Soc. 126, 108–118 (1967).
_____, Methods of constructing models, Sets, models and recursion theory, Edit. J. N. Crossley, Amsterdam 85–121 (1967).
Chudnovsky, G. V. and Chudnovsky, D. V., Regularnye i ubyvajusche nepolnye ultrafiltry, Dokl. Akad. Nauk SSSR 198, 779–782 (1971).
Hajnal, A., Ulam-matrices for inaccessible cardinals, Bull. Acad. Polon. Sci. XVII, 683–688 (1969).
Jorgensen, M. A., Images of ultrafilters and cardinality of ultrapowers, Amer. Math. Soc. Notices 18, 826 (1971).
_____, Regular ultrafilters and long ultrapowers, Ibid., 928.
Keisler, H. J., On cardinalities of ultraproducts, Bull. Amer. Math. Soc. 70, 644–647 (1964).
Keisler, H. J. and Tarski, A., From accessible to inaccessible cardinals, Fund. Math. 53, 225–308 (1964).
Ketonen, J., Everything you wanted to know about ultrafilters, Doctoral Dissertation, Univ. of Wisconsin, (1971).
Kunen, K. and Prikry, K., On descendingly incomplete ultrafilters, to appear in J. Symb. Logic.
Prikry, K., Changing measurable into accessible cardinals, Dissertationes Mathematicae (Rozprawy Matematyczne) LXVIII, 5–52 (1970).
Prikry, K. and Shelah, S., On decomposability of families of sets, to appear.
Silver, J. H., Some applications of model theory in set theory, Ann. Math. Logic (1), 3, 45–110 (1971).
Solovay, R., A Δ 13 non-constructible set of integers, Trans. Amer. Math. Soc. 127, 50–75 (1967).
Ulam, S., Zur Masstheorie in der allgemeinen Mengelehre, Fund. Math. 16, 140–150 (1930).
Jensen, R. B., The fine structure of the constructible hierarchy, to appear in Annals of Math. Logic.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Additional information
Dedicated to Professor A. Mostowski
Rights and permissions
Copyright information
© 1973 Springer-Verlag
About this paper
Cite this paper
Prikry, K. (1973). On descendingly complete ultrafilters. In: Mathias, A.R.D., Rogers, H. (eds) Cambridge Summer School in Mathematical Logic. Lecture Notes in Mathematics, vol 337. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066785
Download citation
DOI: https://doi.org/10.1007/BFb0066785
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-05569-3
Online ISBN: 978-3-540-36884-7
eBook Packages: Springer Book Archive
