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Properties of the real line and weak forms of the Axiom of Choice
Author(s) -
De la Cruz Omar,
Hall Eric,
Howard Paul,
Keremedis Kyriakos,
Tachtsis Eleftherios
Publication year - 2005
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200410052
Subject(s) - axiom of choice , zermelo–fraenkel set theory , urelement , mathematics , axiom , constructive set theory , real line , mathematical economics , axiom independence , line (geometry) , set (abstract data type) , discrete mathematics , set theory , computer science , geometry , programming language
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)