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ω 1 can be measurable

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Abstract

It is shown that ifZF + the axiom of choice + “there is a measurable cardinal” is consistent thenZF + “ω 1 is measurable” is consistent. The corresponding model is a symmetric submodel of the Cohen-type extension which collapses the first measurable cardinal onto ω0.

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References

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Authors and Affiliations

  1. Department of Mathematics, Charles University, Prague

    T. Jech

  2. Sokolovska 83, Praha 8, Czechoslovakia

    T. Jech

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  1. T. Jech
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Jech, T. ω 1 can be measurable. Israel J. Math. 6, 363–367 (1968). https://doi.org/10.1007/BF02771215

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  • DOI: https://doi.org/10.1007/BF02771215

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