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Forcings with the countable chain condition and the covering number of the Marczewski ideal

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Abstract.

We prove that the covering number of the Marczewski ideal is equal to ℵ1 in the extension with the iteration of Hechler forcing.

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Authors and Affiliations

  1. Graduate School of Science and Technology, Kobe University, Rokkodai, Nada-ku, Kobe, 657-8501, Japan

    Teruyuki Yorioka

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  1. Teruyuki Yorioka
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Correspondence to Teruyuki Yorioka.

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Yorioka, T. Forcings with the countable chain condition and the covering number of the Marczewski ideal. Arch. Math. Logic 42, 695–710 (2003). https://doi.org/10.1007/s00153-003-0174-2

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  • DOI: https://doi.org/10.1007/s00153-003-0174-2

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