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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:
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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