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Weak Forms of the Axiom of Choice and Partitions of Infinite Sets

In: Set Theory

Author

Listed:
  • Omar De La Cruz

    (University of Florida, Department of Mathematics)

  • Carlos Augusto Di Prisco

    (Instituto Venezolano de Investigaciones Científicas)

Abstract

There are many equivalent versions of the Axiom of Choice, and also many interesting consequences which are strictly weaker in terms of consistency strength. We examine various of these weaker forms of the Axiom of Choice and study how they are related to each other.

Suggested Citation

  • Omar De La Cruz & Carlos Augusto Di Prisco, 1998. "Weak Forms of the Axiom of Choice and Partitions of Infinite Sets," Springer Books, in: Carlos Augusto Di Prisco & Jean A. Larson & Joan Bagaria & A. R. D. Mathias (ed.), Set Theory, pages 47-70, Springer.
    • Handle: RePEc:spr:sprchp:978-94-015-8988-8_4
    DOI: 10.1007/978-94-015-8988-8_4
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