There may be infinitely many near-coherence classes under u < ∂

Journal of Symbolic Logic

Volumn 72, Issue 4, 2007, Pages 1228-1238

  Mildenberger, Heike ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 38049176918     PISSN: 00224812     EISSN: None     Source Type: Journal    
DOI: 10.2178/jsl/1203350784     Document Type: Article

References (24)

1. JASON AUBREY, Combinatorics for the dominating and the unsplitting numbers, this JOURNAL, vol. 69 (2004), pp. 482-498.
2. BOHUSLAV BALCAR and PETR SIMON, On minimal n-character of points in extremally disconnected compact spaces, Topology and its Applications, vol. 41 (1991), pp. 133-145.
3. c, Set theory (Joan Bagaria and Stevo Todorcevic, editors), Trends in Mathematics, Birkhäuser, 2006, pp. 257-273.
4. ANDREAS BLASS, Combinatorial cardinal characteristics of the continuum, Handbook of set theory (Matthew Foreman, Akihiro Kanamori, and Menachem Magidor, editors), Kluwer, to appear, available at http://www.math.lsa.umich.edu/~ablass.
5. _,Near coherence of filters, I: Cofinal equivalence of models of arithmetic, Notre Dame Journal of Formal Logic, vol. 27 (1986), pp. 579-591.
6. _. Near coherence of filters, II: Applications to operator ideals, the Stone-Čech remainder of a half-line, order ideals of sequences, andslenderness of groups, Transactions of the American Mathematical Society, vol. 300 (1987), pp. 557-581.
7. _, Ultrafilters related to Handyman's finite unions theorem and its extensions, Logic and combinatorics (S. Simpson, editor), Contemporary Mathematics, vol. 65, American Mathematical Society, 1987, pp. 89-124.
8. _, Applications of superperfect forcing and its relatives, Set theory and its applications (Juris Steprãns and Steve Watson, editors), Lecture Notes in Mathematics, vol. 1401, 1989, pp. 18-40.
9. _, Groupwise density and related cardinals. Archive for Mathematical Logic, vol. 30 (1990), pp. 1-11.
10. ANDREAS BLASS and CLAUDE LAFLAMME, Consistency results about filters and the number of inequivalent growth types, this JOURNAL, vol. 54 (1989), pp. 50-56.
11. ANDREAS BLASS and HEIKE MILDENBERGER. On the cofinality ofultrapowers, this JOURNAL, vol. 64 (1999), pp. 727-736.
12. N2 -points and the RudinKeisler ordering may be downward directed, Annals Pure Applied Logic, vol. 33 (1987), pp. 213-243, [BsSh:242].
13. _, Near coherence of filters III: A simplified consistency proof, Notre Dame Journal of Formal Logic, vol. 30 (1989), pp. 530-538, [BsSh:287].
14. _, Ultrafilters with small generating sets, Israel Journal Mathematics, vol. 65 (1989), pp. 259-271, [BsSh:257].
15. JÖRG BRENDLE, Distinguishing groupwise density numbers, 2006, to appear in Monatshefte für Mathematik.
16. MICHAEL CANJAR, Cofinalities of countable ultraproducts: The existence theorem, Notre Dame Journal of Formal Logic, vol. 30 (1989), pp. 309-312.
17. R. MICHAEL CANJAR, Mathias forcing which does not add dominating reals, Proceedings of the American Mathematical Society, vol. 104 (1988), pp. 1239-1248.
18. TODD EISWORTH, Forcing and stable ordered-union ultrafilters, this JOURNAL, vol. 67 (2002), pp. 449-464.
19. JUSSI KETONEN, On the existence of P-points in the Stone-Čech compactification of integers, Fundamenta Mathematicae, vol. 92 (1976), pp. 91-94.
20. HEIKE MILDENBERGER, Groupwise dense families, Archive for Mathematical Logic, vol, 40 (2000), pp. 93-112.
21. JERZY MIODUSZEWSKI, On composants of βR - R, Proceedings conf, topology and measure (Zinnowitz 1974) (J. Flachsmeyer, Z. Frolik, and F. Terpe, editors), Ernst-Moritz-Arndt- Universität zu Greifswald, 1978, pp, 257-283.
22. _, An approach to βR-R, Topology (Á. Császár. editor), Colloquia Mathematica Societatis János Bolyai, vol. 23, North-Holland, 1980, pp. 853-854.
23. ω, 1984, preprint.
24. R. C. SOLOMON, Families of sets and functions, Czechoslovak Mathematical Journal, vol, 27 (1977), pp. 556-559.