On the cofinality of ultrapowers

Journal of Symbolic Logic

Volumn 64, Issue 2, 1999, Pages 727-736

  Blass, Andreas ^a   Mildenberger, Heike ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b UNIVERSITY OF BONN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033418491     PISSN: 00224812     EISSN: None     Source Type: Journal    
DOI: 10.2307/2586495     Document Type: Article

References (11)

1. A. BLASS, Near Coherence of filters, I: Cofinal equivalence of models of arithmetic, Notre Dame Journal of Formal Logic, vol. 27 (1986), pp. 579-591.
2. _, Applications of superperfect forcing and its relatives, Set theory and its applications (J. Steprāns and S. Watson, editors), Lecture Notes in Mathematics, no. 1401, Springer-Verlag, 1989, pp. 18-40.
3. א2-points and the Rudin-Keisler ordering may be downward directed, Annals of Pure and Applied Logic, vol. 33 (1987), pp. 213-243.
4. R. M. CANJAR, Model-Theoretic Properties of Countable Ultraproducts Without the Continuum Hvpothesis, Ph.D. thesis, University of Michigan, 1982.
5. _, Countable ultraproducts without CH, Annals of Pure and Applied Logic, vol. 37 (1988), pp. 1-79.
6. _, Cofinalities of countable ultraproducts: the existence theorem, Notre Dame Journal of Formal Logic, vol. 30 (1989), pp. 539-542.
7. ωω, (to appear).
8. J. ROITMAN, Non-isomorphic H-fieldsfrom non-isomorphic ultrapowers, Mathematische Zeitschrift, vol. 181 (1982), pp. 93-96.
9. R. C. SOLOMON, Families of sets and functions, Czechoslovak Mathematical Journal, vol. 27 (1977), pp. 556-559.
10. E. VAN DOUWEN, The integers and topology, Handbook of Set Theoretic Topology (K. Kunen and J. Vaughan, editors), North-Holland, 1984, pp. 111-167.
11. J. VAUGHAN, Small uncountable cardinals and topology, Open Problems in Topology (J. van Mill and G. Reed, editors), North-Holland, 1990, pp. 195-218.