A classification of definable forcings on ω1

• Autorzy: Jindřich Zapletal
• Języki publikacji: EN

Abstrakty

EN

Under the assumption of the existence of sharps for reals all simply definable posets on $ω_1$ are classified up to forcing equivalence.

Kategorie tematyczne

• 03E40: Other aspects of forcing and Boolean-valued models
• 03E45: Inner models, including constructibility, ordinal definability, and core models

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1997
• Tom: 153
• Numer: 2
• Strony: 141-144

Daty

wydano

1997

otrzymano

1996-06-10

poprawiono

1997-02-27

Twórcy

autor

Jindřich Zapletal

• M.S.R.I., 1000 Centennial Drive, Berkeley, California 94720, U.S.A.

Bibliografia

• [B] J. Baumgartner, Applications of the proper forcing axiom, in: Handbook of Set-Theoretic Topology, K. Kunen and J. E. Vaughan (eds.), North-Holland, Amsterdam, 1984, 913-959.
• [BJZ] B. Balcar, T. Jech and J. Zapletal, Generalizations of Cohen algebras, Ann. Pure Appl. Logic, to appear.
• [J] T. Jech, Set Theory, Academic Press New York, 1978.
• [JS] T. Jech and S. Shelah, Possible PCF algebras, J. Symbolic Logic 61 (1996), 313-318.
• [K] S. Koppelberg, Characterization of Cohen algebras, in: Papers on General Topology and Applications, S. Andima, R. Kopperman, P. R. Misra and A. R. Todd (eds.), Ann. New York Acad. Sci. 704, 1993, 227-237.
• [S] S. Shelah, Proper Forcing, Springer, New York, 1982.
• [T] S. Tennenbaum, Souslin's problem, Proc. Nat. Acad. Sci. U.S.A. 59 (1968), 60-63.
• [Z] J. Zapletal, Characterization of the club forcing, in: Papers on General Topology and Applications, S. Andima, R. C. Flagg, G. Itzkowitz, Y. Kong, R. Kopperman and P. Misra (eds.), Ann. New York Acad. Sci. 806, 1996, 476-484.