CCC forcing and splitting reals

Israel Journal of Mathematics

Volumn 147, Issue , 2005, Pages 209-220

  Velickovic, Boban ^a  

^a UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 26244436434     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02785365     Document Type: Article

References (18)

1. 1 compatible with CH, Fundamenta Mathematical 152 (1997), 165-181.
2. [BłSh] A. Blaszczyk and S. Shelah, Regular subalgebras of complete Boolean algebras, Journal of Symbolic Logic 66 (2001), 792-800.
3. [Jech] T. Jech, Set Theory, The Third Millennium Edition, revised and expanded Series, Springer Monographs in Mathematics, 3rd rev. ed., Springer, Berlin, 2003.
4. [Jen] R. Jensen, Definable sets of minimal degree, in Mathematical Logic and Foundations of Set Theory (Y. Bar-Hillel, ed.), North-Holland, Amsterdam, 1970, pp. 122-128.
5. [JuSh] H. Judah and S. Shelah, Souslin forcing, Journal of Symbolic Logic 53 (1988), 1182-1207.
6. [KR] N.J. Kalton and J. W. Roberts, Uniformly exhaustive submeasures and nearly additive set functions, Transactions of the American Mathematical Society 278 (1983), 803-816.
7. [Mah] D. Maharam, An algebraic characterization of measure algebras, Annals of Mathematics (2) 48 (1947), 154-167.
8. [Mau] D. Mauldin, The Scottish Book, Mathematics of the Scottish Cafe, Birkhäuser, Basel, 1981.
9. [Qu1] S. Quickert, Forcing and the reals, Ph.D. Thesis, University of Bonn, 2002.
10. [Qu2] S. Quickert, CH and the Sacks property, Fundamenta Mathematicae 171 (2002), 93-100.
11. [Sh1] S. Shelah, How special are Cohen and random forcing, Israel Journal of Mathematics 88 (1994), 159-174.
12. [Sh2] S. Shelah, There may be no nowhere dense ultrafilters, in Logic Colloq. 95, Proceedings of the Annual European Summer Meeting of the ASL, Haifa, Israel, Aug. 1995 (A. Makowsky and Z. Johann, eds.), Lecture Notes in Logic, Vol. 11, Springer-Verlag, Berlin, 1998, pp. 305-324.
13. [Sh3] S. Shelah, On what I do not understand and have something to say, Fundamenta Mathematicae 166 (2000), 1-82.
14. [SZ] S. Shelah and J. Zapletal, Embeddings of Cohen algebras, Advances in Mathematics 126 (1997), 93-115.
15. [Sol] S. Solecki, Analytic ideals and their applications, Annals of Pure and Applied Logic 99 (1999), 51-72.
16. [T] S. Todorcevic, A dichotomy for P-ideals of countable sets, Fundamenta Mathematicae 166 (2000), 251-267.
17. [Ve1] B. Velickovic, The basis problem for CCC posets, in Set Theory (Piscataway, NJ, 1999), DIMACS Series in Discrete Mathematics and Theoretical Computer Science 58, American Mathematical Society, Providence, RI, 2002, pp. 149-160.
18. [Ve2] B. Velickovic, CCC posets of perfect trees, Compositio Mathematica 79 (1991), 279-294.