On nicely definable forcing notions

Journal of Applied Analysis

Volumn 11, Issue 1, 2005, Pages 1-17

  Shelah, S ^a,b  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

Nep forcing; Set theory forcing; Set theory of the reals

Indexed keywords

EID: 84858384542     PISSN: 14256908     EISSN: 18696082     Source Type: Journal    
DOI: 10.1515/JAA.2005.1     Document Type: Article

References (15)

1. Bartoszyński, T., Roslanowski, A., Towards Martin's minimum, Arch. Math. Logic, 41(2002), 65-82. math. LO/9904163. (Pubitemid 36170965)
2. Brendle, J., Combinatorial properties of classical forcing notions, Ann. Pure Appl. Logic, 73(1995), 143-170.
3. Brendle, J., Judah, H., Shelah, S., Combinatorial properties of Hechler forcing. Ann. Pure Appl. Logic, 58(1992), 185-199. math. LO/9211202.
4. Gitik, M., Shelah, S., Forcings with ideals and simple forcing notions, Israel J. Math., 68(1989), 129-160.
5. Gitik, M., Shelah, S., More on simple forcing notions and forcings with ideals, Ann. Pure Appl. Logic, 59(1993), 219-238.
6. Gitik, M., Shelah, S., More on real-valued measurable cardinals and forcing with ideals, Israel J. Mathematics, 124(2001), 221-242. math. LO/9507208. (Pubitemid 33404400)
7. Goldstern, M., Judah, H., Iteration of Souslin forcing, projective measurability and the Borel conjecture. Israel J. Math. 78(1992), 335-362.
8. Ihoda, J. (Judah Haim), Shelah, S., Souslin forcing, J. Symbolic Logic 53(1988), 1188-1207.
9. Keisler, J. H., Model Theory for Infinitary Logic. Logic with Countable Conjunctions and Finite Quantifiers, Stud. Logic Found. Math. 62, North-Holland Publishing Co., Amsterdam-London, 1971.
10. Roslanowski, A., Shelah, S., Sweet & sour and other flavours of ccc forcing notions, Arch. Math. Logic 43(2004), 583-663. math. LO/9909115. (Pubitemid 39016331)
11. Roslanowski, A., Shelah, S., Norms on Possibilities I: Forcing with Trees and Creatures, Mem. Amer. Math. Soc, 141(671), Providence, RI, 1999. math. LO/9807172.
12. Shelah, S., How special are Cohen and random forcings i.e. Boolean algebras of the family of subsets of reals modulo meagre or null, Israel J. Math., 88(1994), 159-174. math. LO/9303208.
13. Shelah, S., On what I do not understand (and have something to say): Part I, Fund. Math. 166(2000), 1-82. math. LO/9906113.
14. Shelah, S., Properness without elementaricity. J. Appl. Anal. 10(2) (2004), 169-289. math. LO/9712283.
15. Shelah, S., More on nw-nep forcing notions.