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Admissible Suslin cardinals in L(R)

Published online by Cambridge University Press:  12 March 2014

Steve Jackson
Steve Jackson*
Affiliation:
Department of Mathematics, California Institute of Technology, Pasadena, California 91125
*
Department of Mathematics, University of North Texas, Denton, Texas 76203
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Abstract

Assuming AD + (V = L(R)), it is shown that for κ an admissible Suslin cardinal, o(κ) (= the order type of the stationary subsets of κ) is “essentially” regular and closed under ultrapowers in a manner to be made precise. In particular, o(κ) ≫ κ+, κ++, etc. It is conjectured that this characterizes admissibility for L(R).

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 56 , Issue 1 , March 1991 , pp. 260 - 275
Copyright
Copyright © Association for Symbolic Logic 1991

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References

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