Some basic thoughts on the cofinalities of Chang structures with an application to forcing

Mathematical Logic Quarterly 67 (3):354-358 (2021)
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Abstract

Consider where κ is an uncountable regular cardinal. By a result of Shelah's we have for almost all witnessing this. Here we consider the question if there could be a similar result for. We will discuss some basic facts implying that this cannot hold in general. We will use these facts to construct an interesting example of a pseudo Prikry forcing, answering a question of Sinapova.

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10.1002/malq.202000029

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Citations of this work

Weak saturation properties and side conditions.Monroe Eskew - 2024 - Annals of Pure and Applied Logic 175 (1):103356.

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References found in this work

Saturated ideals.Kenneth Kunen - 1978 - Journal of Symbolic Logic 43 (1):65-76.
Set Theory.Thomas Jech - 1999 - Studia Logica 63 (2):300-300.
Consistency strength of higher chang’s conjecture, without CH.Sean D. Cox - 2011 - Archive for Mathematical Logic 50 (7-8):759-775.

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