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Successive failures of approachability - MaRDI portal

Successive failures of approachability (Q2040207)

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Successive failures of approachability
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    Successive failures of approachability (English)
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    12 July 2021
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    The author shows that it is consistent relative to large cardinals that \(\omega_{\omega^2}\) is a strong limit and Shelah's approachable ideal \(I[\sigma]\) is proper for each regular cardinal \(\sigma\) with \(\omega_2 \leq \sigma \leq \omega_{\omega^2 + 3}\).
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    approachable ideal
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    special Aronszajn tree
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    diagonal Prikry forcing
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