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Canonical form of Tarski sets in Zermelo-Fraenkel set theory

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Abstract

We establish the equivalence of the notions of an inaccessible cumulative set and uncountable Tarski set. In addition, the equivalence of these notions and that of a galactic set is proved.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Moscow

    E. I. Bunina & V. K. Zakharov

Authors
  1. E. I. Bunina
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  2. V. K. Zakharov
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Additional information

Translated from Matematicheskie Zametki, vol. 77, no. 3, 2005, pp. 323–333.

Original Russian Text Copyright © 2005 by E. I. Bunina, V. K. Zakharov.

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Bunina, E.I., Zakharov, V.K. Canonical form of Tarski sets in Zermelo-Fraenkel set theory. Math Notes 77, 297–306 (2005). https://doi.org/10.1007/s11006-005-0030-2

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  • DOI: https://doi.org/10.1007/s11006-005-0030-2

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