Martin's axiom and the dual distributivity number

Mathematical Logic Quarterly

Volumn 46, Issue 2, 2000, Pages 241-248

  Brendle, Jörg ^a  

^a KOBE UNIVERSITY   (Japan)

Author keywords

Dual cardinal invariants; Dual distributivity number; Martin's axiom; Maximal almost orthogonal family; Partitions of

Indexed keywords

EID: 0034344068     PISSN: 09425616     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1521-3870(200005)46:2<241::AID-MALQ241>3.0.CO;2-M     Document Type: Article

References (12)

1. BARTOSZYŃSKI, T., and H. JUDAH, Set theory: On the structure of the real line. A. K. Peters, Wellesley, Massachusetts, 1995.
2. BRENDLE, J., Generic constructions of small sets of reals. Topology and its Applications 71 (1996), 125 - 147.
3. CARLSON, T., and S. SIMPSON, A dual form of Ramsey's theorem. Advances in Math. 53 (1984), 265 - 290.
4. CICHOŃ, J., A. KRAWCZYK, B. MAJCHER-IWANOW, and B. WȨGLORZ, Partitions and a dual van Douwen diagram. Preprint.
5. 2 J. Symbolic Logic 58 (1993), 42 - 54.
6. HALBEISEN, L., On shattering, splitting and reaping partitions. Math. Logic Quarterly 44 (1998), 123 - 134.
7. JUDAH, H., A. MILLER, and S. SHELAH, Sacks forcing, Laver forcing, and Martin's axiom. Archive Math. Logic 31 (1992), 145 - 162.
8. MATET, P., Partitions and filters. J. Symbolic Logic 51 (1986), 12 - 21.
9. SHELAH S., Vive la différence I: Nonisomorphism of ultrapowers of countable models. In: Set Theory of the Continuum (H. JUDAH, W. JUST, and H. WOODIN, eds.), Mathematical Sciences Research Institute Publications, Springer-Verlag, Berlin-Heidelberg-New York 1992, pp. 357 - 405.
10. SPINAS, O., Partition numbers. Annals Pure Appl. Logic 90 (1997), 243 - 262.
11. VAN DOUWEN E. K., The integers and topology. In: Handbook of Set-Theoretic Topology (K. KUNEN and J. E. VAUGHAN, eds.), North-Holland Publ. Comp., Amsterdam 1984, pp. 111 - 167.
12. VELIČKOVIĆ, B., CCC posets of perfect trees. Compositio Math. 79 (1991), 279 - 294.