New equivalents of the axiom of choice and consequences

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Equivalents of the axiom of choice

Parts of this note have been discussed elsewhere in the blog, sometimes in a different form (see here and here, for example), but I haven’t examined before the equivalence of 5–7 with choice. In the course of the proof of the equivalence of item 7 with the other statements, a few additional equivalent versions of independent interest will be identified. The equivalence of 1–3 is classic. Zermel...

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ژورنال

عنوان ژورنال: Mathematica Moravica

سال: 2009

ISSN: 1450-5932,2560-5542

DOI: 10.5937/matmor0901077t