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Easton collapses and a strongly saturated filter

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Abstract

We introduce the Easton collapse and show that the two-stage iteration of Easton collapses gives a model in which the successor of a regular cardinal carries a strongly saturated filter. This allows one to get a model in which many successor cardinals carry saturated filters just by iterating Easton collapses.

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  1. Institute of Mathematics, University of Tsukuba, Tsukuba, 305-8571, Japan

    Masahiro Shioya

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  1. Masahiro Shioya
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Correspondence to Masahiro Shioya.

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Shioya, M. Easton collapses and a strongly saturated filter. Arch. Math. Logic 59, 1027–1036 (2020). https://doi.org/10.1007/s00153-020-00733-8

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  • DOI: https://doi.org/10.1007/s00153-020-00733-8

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