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In this chapter we shall consider models of ZFC in which \( \mathfrak{p} = \mathfrak{c} \) . Since ω1 ≤ \( \mathfrak{p} \) (by THEOREM 9.0) and \( \mathfrak{p} \) ≤ \( \mathfrak{c} \) , we have \( \mathfrak{p} = \mathfrak{c} \) in all models in which \( \mathfrak{c} \) = ω1, but of course, these are not the models we are interested in.

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Models in Which \( \mathfrak{p} = \mathfrak{c} \)

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  • 发表日期：

    2025年

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  • Lorenz J. Halbeisen

摘要

In this chapter we shall consider models of ZFC in which \( \mathfrak{p} = \mathfrak{c} \) . Since ω1 ≤ \( \mathfrak{p} \) (by THEOREM 9.0) and \( \mathfrak{p} \) ≤ \( \mathfrak{c} \) , we have \( \mathfrak{p} = \mathfrak{c} \) in all models in which \( \mathfrak{c} \) = ω1, but of course, these are not the models we are interested in.