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2005•Mathematical logic quarterlyRequires access

Properties of the real line and weak forms of the Axiom of Choice

Omar De la Cruz, Eric Hall, Paul C. Howard, Kyriakos Keremedis, Eleftherios Tachtsis

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Abstract

We investigate, within the framework of Zermelo-Fraenkel set theory ZF, the interrelations between weak forms of the Axiom of Choice AC restricted to sets of reals. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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We investigate, within the framework of Zermelo-Fraenkel set theory ZF, the interrelations between weak forms of the Axiom of Choice AC restricted to sets of reals. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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Available abstract

We investigate, within the framework of Zermelo-Fraenkel set theory ZF, the interrelations between weak forms of the Axiom of Choice AC restricted to sets of reals. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Key concepts: Axiom of choice, Zermelo–Fraenkel set theory, Urelement, Mathematics, Axiom, Constructive set theory, Real line, Mathematical economics

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