CCC posets of perfect trees

Boban Velickovic

Compositio Mathematica (1991)

  • Volume: 79, Issue: 3, page 279-294
  • ISSN: 0010-437X

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Velickovic, Boban. "CCC posets of perfect trees." Compositio Mathematica 79.3 (1991): 279-294. <http://eudml.org/doc/90108>.

@article{Velickovic1991,
author = {Velickovic, Boban},
journal = {Compositio Mathematica},
keywords = {internal forcing axioms; perfect trees; perfect poset; consistency; MA; ccc finite-support iterated forcing; ccc posets; generic real; Sacks forcing; -sets; minimal reals},
language = {eng},
number = {3},
pages = {279-294},
publisher = {Kluwer Academic Publishers},
title = {CCC posets of perfect trees},
url = {http://eudml.org/doc/90108},
volume = {79},
year = {1991},
}

TY - JOUR
AU - Velickovic, Boban
TI - CCC posets of perfect trees
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 79
IS - 3
SP - 279
EP - 294
LA - eng
KW - internal forcing axioms; perfect trees; perfect poset; consistency; MA; ccc finite-support iterated forcing; ccc posets; generic real; Sacks forcing; -sets; minimal reals
UR - http://eudml.org/doc/90108
ER -

References

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  1. [Ab] U. Abraham, A minimal model for ⊑CH: iteration of Jensen's reals, Trans. Am. Math. Soc.281(2) (1984), 657-674. Zbl0541.03029
  2. [Ba] J. Baumgartner, Applications of the Proper Forcing Axiom, in Handbook of set-theoretic topology (Eds. K. Kunen and J. Vaughan), North-Holland, Amsterdam, 1984, 913-959. Zbl0556.03040MR776640
  3. [BL] J. Baumgartner and R. Laver, Iterated perfect-set forcing, Ann. Math. Logic17 (1979), 271-288. Zbl0427.03043MR556894
  4. [Gr] M. Groszek, Combinatorics on ideals and forcing with trees, Journal of Symbolic Logic52 (1987), 582-593. Zbl0646.03048MR902978
  5. [GL] M. Groszek and T. Jech, Generalized iteration of forcing, to appear. Zbl0721.03033MR946221
  6. [Jec] T. Jech, Set theory, Academic, New York, 1978. Zbl0419.03028MR506523
  7. [Jen] R. Jensen, Definable sets of minimal degree, in Mathematical logic and foundations of set theory (Ed. Y. Bar-Hillel), North-Holland, Amsterdam, 1970, 122-218. Zbl0245.02055MR306002
  8. [Ku] K. Kunen, Set theory, North-Holland, Amsterdam, 1980. Zbl0443.03021MR597342
  9. [Ma] D. Mauldin (Ed.), The Scottish book, Birkhäuser, Boston, Mass.1981. Zbl0485.01013MR666400
  10. [Mi] A. Miller, Mapping sets of reals onto the reals, Journal of Symbolic Logic48(3) (1983), 575-584. Zbl0527.03031MR716618
  11. [Sa] G. Sacks, Forcing with perfect closed sets, in Axiomatic set theory (Ed. D. Scott), Proc. Symp. Pure Math. 13, I, Amer. Math. Soc., Providence, 1971, 331-355. Zbl0226.02047MR276079
  12. [Sh] S. Shelah, Proper forcing, Lecture Notes in Math. 940, Springer Verlag, Berlin, 1982. Zbl0495.03035MR675955
  13. [Ve] B. Velickovic, Forcing axioms and stationary sets, Adv. Math., to appear. Zbl0785.03031MR1174395

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