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

Omar De La Cruz and Carlos Augusto Di Prisco
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Omar De La Cruz: University of Florida, Department of Mathematics
Carlos Augusto Di Prisco: Instituto Venezolano de Investigaciones Científicas

A chapter in Set Theory, 1998, pp 47-70 from Springer

Abstract: 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.

Keywords: Choice Function; Symmetric Model; Restricted Version; Cylinder Model; Infinite Subset (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-94-015-8988-8_4

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