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- W1626383945 abstract "Let 0<n^*< omega and f:X-> n^*+1 be a function where X subseteq omega backslash (n^*+1) is infinite. Consider the following set S_f= {x subset aleph_omega : |x| <= aleph_{n^*} & (for all n in X)cf(x cap alpha_n)= aleph_{f(n)}}. The question, first posed by Baumgartner, is whether S_f is stationary in [alpha_omega]^{< aleph_{n^*+1}}. By a standard result, the above question can also be rephrased as certain transfer property. Namely, S_f is stationary iff for any structure A=< aleph_omega, ... > there's a B prec A such that |B|= aleph_{n^*} and for all n in X we have cf(B cap aleph_n)= aleph_{f(n)}. In this paper, we are going to prove a few results concerning the above question." @default.
- W1626383945 created "2016-06-24" @default.
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- W1626383945 date "1996-04-14" @default.
- W1626383945 modified "2023-09-25" @default.
- W1626383945 title "Cofinalities of elementary substructures of structures on aleph_omega" @default.
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- W1626383945 doi "https://doi.org/10.48550/arxiv.math/9604242" @default.
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