Mathematics – Logic
Scientific paper
1992-07-31
Mathematics
Logic
Scientific paper
Let m be the least cardinal k such that MA(k) fails. The only known model for
"m is singular" was constructed by Kunen. In Kunen's model cof(m)=omega_1. It
is unknown whether "omega_1 < cof(m) < m" is consistent. The purpose of this
paper is to present a proof of Kunen's result and to identify the difficulties
of generalizing this result to an arbitrary uncountable cofinality.
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