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

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Set Theory

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.

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De La Cruz, O., Di Prisco, C.A. (1998). Weak Forms of the Axiom of Choice and Partitions of Infinite Sets. In: Di Prisco, C.A., Larson, J.A., Bagaria, J., Mathias, A.R.D. (eds) Set Theory. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8988-8_4

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  • DOI: https://doi.org/10.1007/978-94-015-8988-8_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4978-0

  • Online ISBN: 978-94-015-8988-8

  • eBook Packages: Springer Book Archive

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