Łoś's theorem and the axiom of choice

Mathematical Logic Quarterly 65 (3):280-292 (2019)
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In set theory without the Axiom of Choice (), we investigate the problem of the placement of Łoś's Theorem () in the hierarchy of weak choice principles, and answer several open questions from the book Consequences of the Axiom of Choice by Howard and Rubin, as well as an open question by Brunner. We prove a number of results summarised in § 3.



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The structure of amorphous sets.J. K. Truss - 1995 - Annals of Pure and Applied Logic 73 (2):191-233.
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On the minimal cover property and certain notions of finite.Eleftherios Tachtsis - 2018 - Archive for Mathematical Logic 57 (5-6):665-686.

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