Admissible Suslin cardinals in L(R)
- 12 March 1991
- journal article
- Published by Cambridge University Press (CUP) in The Journal of Symbolic Logic
- Vol. 56 (1) , 260-275
- https://doi.org/10.2307/2274918
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).Keywords
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