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The size of $\tilde{T}$

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Abstract.

Given a stationary subset T of \(\omega_{1}\), let \(\tilde{T}\) be the set of ordinals in the interval \((\omega_{1}, \omega_{2})\) which are necessarily in the image of T by any embedding derived from the nonstationary ideal. We consider the question of the size of \(\tilde{T}\), givenT, and use Martin's Maximum and \(\mathbb{P}_{max}\) to give some answers.

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Authors and Affiliations

  1. 5100 Randall Lane, Bethesda, MD 20816, USA. e-mail: larson@kurt.cla.kobe-u.ac.jp, , , , , , US

    Paul Larson

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  1. Paul Larson
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Received: 23 November 1998

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Larson, P. The size of $\tilde{T}$. Arch Math Logic 39, 541–568 (2000). https://doi.org/10.1007/s001530050164

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  • DOI: https://doi.org/10.1007/s001530050164

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