Łoś's theorem and the axiom of choice

descriptionPublicationkeyboard_double_arrow_right Article 30 Sep 2019 English Publisher:WileyJournal:Mathematical Logic Quarterly, volume 65, pages 280-292 (issn: 0942-5616, eissn: 1521-3870,

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Authors: Eleftherios Tachtsis;

doi: 10.1002/malq.201700074

Łoś's theorem and the axiom of choice

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Abstract

AbstractIn 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.

Related Organizations

University of the Aegean
Greece

Keywords

Ultraproducts and related constructions, Axiom of choice and related propositions

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