|
Proper products
Author(s):
Otmar
Spinas
Journal:
Proc. Amer. Math. Soc.
137
(2009),
2767-2772.
MSC (2000):
Primary 03E05
Posted:
March 5, 2009
MathSciNet review:
2497491
Retrieve article in:
PDF
Abstract |
References |
Similar articles |
Additional information
Abstract:
We show that the natural amoeba forcing associated with Laver forcing , Miller forcing respectively, is proper. As a corollary we obtain that every finite power of , respectively , is proper.
References:
-
- 1.
- J. E. Baumgartner, Iterated forcing, surveys in set theory, London Mathematical Society Lecture Note Series, no. 87 (A.R.D. Mathias, ed.), Cambridge University Press, Cambridge, 1983, pp. 1-59. MR 823775 (87c:03099)
- 2.
- J. Brendle, Mutual generics and perfect free subsets, Acta Math. Hungar. 82 (1999), pp. 143-161. MR 1658566 (2000g:03117)
- 3.
- R. Laver, On the consistency of Borel's conjecture, Acta Math. 137 (1976), pp. 151-169. MR 0422027 (54:10019)
- 4.
- A. Miller, Rational perfect set forcing, Contemporary Mathematics, 31, Amer. Math. Soc., Providence, RI, 1984, pp. 143-159. MR 763899 (86f:03084)
- 5.
- S. Shelah, Proper forcing, Lecture Notes in Mathematics, vol. 940, Springer-Verlag, Berlin-New York, 1982. MR 675955 (84h:03002)
- 6.
- S. Shelah and O. Spinas, The distributivity numbers of finite products of
, Fundamenta Mathematicae 158 (1998), pp. 81-93. MR 1641157 (2000b:03170) - 7.
- O. Spinas, Generic trees, Journal of Symbolic Logic 60 (1995), pp. 705-726. MR 1348990 (96g:03087)
- 8.
- O. Spinas, Ramsey and freeness properties of Polish planes, Proceedings of the London Mathematical Society (3) 82 (2001), no. 1, pp. 31-63. MR 1794256 (2001j:03088)
- 9.
- B. Velickovic and H. Woodin, Complexity of reals in inner models of set theory, Ann. Pure Appl. Logic 92 (1998), pp. 283-295. MR 1640916 (99f:03067)
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (2000):
03E05
Retrieve articles in all Journals with
MSC (2000):
03E05
Additional Information:
Otmar
Spinas
Affiliation:
Mathematisches Seminar der Christian-Albrechts-Universität zu Kiel, Ludewig-Meyn-Straße 4, 24098 Kiel, Germany
Email:
spinas@math.uni-kiel.de
DOI:
10.1090/S0002-9939-09-09846-3
PII:
S 0002-9939(09)09846-3
Received by editor(s):
December 10, 2007,
Received by editor(s) in revised form:
March 28, 2008, and December 5, 2008
Posted:
March 5, 2009
Additional Notes:
The author is partially supported by DFG grant SP 683/1-2
Communicated by:
Julia Knight
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
|