Bounded forcing axioms as principles of generic absoluteness

Archive for Mathematical Logic

Volumn 39, Issue 6, 2000, Pages 393-401

  Bagaria, Joan ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034392719     PISSN: 09335846     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001530050154     Document Type: Article

References (11)

1. J. Bagaria, A characterization of Martin's axiom in terms of absoluteness. The Journal of Symbolic Logic, Volume 62, Number 2, June 1997, 366-372.
2. J. Bagaria, Definable forcing and regularity properties of projective sets of reals. Ph. D. Thesis. Berkeley, 1991.
3. M. Goldstern and S. Shelah, The bounded proper forcing axiom. The Journal of Symbolic Logic, Volume 60, Number 1. March 1995. pp.58-73.
4. 2. Ph. D. Thesis. Berkeley, 1994.
5. T. Jech, Set Theory. Academic Press, 1978.
6. H. Judah and A. Roslanowski, Martin's axiom and the continuum. The Journal of Symbolic Logic, Vol. 60 (1995) 374-391.
7. T. Miyamoto, Localized Reflecting Cardinals and Weak Segments of PFA. Preprint.
8. 3 sets of reals. Annals of Mathematics 89 (1969), 138-60.
9. A. Roslanowski and S. Shelah, Simple forcing notions and Forcing Axioms. The Journal of Symbolic Logic, Volume 62, Number 4, December 1997, 1297-1314.
10. F. D. Tall, Some applications of a generalized Martin's axiom. Topology and its Applications, 57 (1994) 215-248.
11. B. Velickovic, Forcing axioms and stationary sets. Advances in Mathematics, vol. 94 (1992) 2256-284.