More on mutual stationarity

Details More on mutual stationarity More on mutual stationarity

2001-04-06

arxiv.org/abs/math/0104072v1

Mathematics

Logic

7 pages

Scientific paper

Extending a result of Foreman and Magidor we prove that in the core model for almost linear iterations the following holds. There is a sequence (S^n_\alpha : n<\omega,\alpha>0) such that each individual S^n_\alpha is a stationary subset of \aleph_{\alpha+1} consisting of points of cofinality \omega_1, and for all limits \lambda and for all f:\lambda -> \omega do we have that (S^{f(\alpha)}_\alpha : \alpha<\lambda) is mutually stationary if and only if the range of f is finite.

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