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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

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
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Abstract | References | Similar articles | Additional information

Abstract: We show that the natural amoeba forcing associated with Laver forcing $ \mathbb{L}$, Miller forcing $ \mathbb{M}$ respectively, is proper. As a corollary we obtain that every finite power of $ \mathbb{L}$, respectively $ \mathbb{M}$, 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 $ \mathcal{P}(\omega)/{fin}$, 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)

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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.




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