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

     

Distributivity and stationary reflections

Author(s): Yasuo Kanai
Journal: Proc. Amer. Math. Soc. 127 (1999), 3073-3080.
MSC (1991): Primary 03E55
Posted: May 3, 1999
MathSciNet review: 1605980
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Abstract | References | Similar articles | Additional information

Abstract: In this paper, we present some relations between generalized distributivity of quotient algebras and Mahlo operations, and show that the distributivity implies some variants of stationary relections.


References:

[1]
Q.Feng and M.Magidor, On reflection of stationary sets, Fund. Math., vol.140, pp175-181 (1992). MR 93e:03069
[2]
C.A.Johnson, More on distributive ideals, Fund. Math., vol.128, pp113-130 (1987). MR 89a:03095

[3]
Y.Kanai, On a generalization of distributivity, J. Symb. Logic, vol.59, pp1055-1067 (1994). MR 96b:03063

[4]
Y.Matsubara, Saturated ideals and the singular cardinal hypothesis, J. Symb. Logic, vol.57, pp970-974 (1992). MR 93m:03082

[5]
R.M.Solovay, Strongly compact cardinals and the GCH, in: `Proceedings of Tarski Symposium (L.Henkin et al., eds.)' Proc. Symp. Pure Math. vol.25, pp365-372, Amer. Math. Soc., Providence, Rhode Island, 1974. vol.94, pp256-284 (1992). MR 52:106

[6]
B.Veli[??]ckovi\'{c}, Forcing axioms and Stationary Sets, Advances in Mathematics, vol.94, pp256-284 (1992). MR 93k:03045


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Additional Information:

Yasuo Kanai
Affiliation: Toyota National College of Technology, 2-1 Eisei-cho, Toyota, Aichi 471, Japan
Email: kanai@tctcc.cc.toyota-ct.ac.jp

DOI: 10.1090/S0002-9939-99-04881-9
PII: S 0002-9939(99)04881-9
Keywords: Distributivity, Mahlo operation, stationary reflection
Received by editor(s): November 19, 1996
Received by editor(s) in revised form: January 5, 1998
Posted: May 3, 1999
Communicated by: Andreas R. Blass
Copyright of article: Copyright 1999, American Mathematical Society




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