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On the cardinality of some powersets

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Summary

The cardinality of the various stages of the von Neumann model for ZF set-theory is considered and is shown that under GCH the (ω+k)-th stage has cardinality of the (k+1)-th aleph.

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Reference

  1. Kuratowski K. and Mostowski A.,Set-Theory, North-Holland Pub. Co., Amsterdam (1968), 309–311.

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Authors and Affiliations

  1. Department of Mathematics, Iowa State University, 50011, Ames, Iowa, U. S. A.

    Alexander Abian

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  1. Alexander Abian
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Abian, A. On the cardinality of some powersets. Rend. Circ. Mat. Palermo 27, 5–8 (1978). https://doi.org/10.1007/BF02843861

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  • DOI: https://doi.org/10.1007/BF02843861

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