Original Paper

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

  1. Omar De la Cruz1,
  2. Eric Hall2,
  3. Paul Howard3,
  4. Kyriakos Keremedis4,
  5. Eleftherios Tachtsis5

Article first published online: 28 SEP 2005

DOI: 10.1002/malq.200410052

Issue

Mathematical Logic Quarterly

Mathematical Logic Quarterly

Volume 51, Issue 6, pages 598–609, November 2005

Additional Information

How to Cite

De la Cruz, O., Hall, E., Howard, P., Keremedis, K. and Tachtsis, E. (2005), Properties of the real line and weak forms of the Axiom of Choice. Mathematical Logic Quarterly, 51: 598–609. doi: 10.1002/malq.200410052

Author Information

  1. 1

    Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA

  2. 2

    Department of Mathematics and Statistics, University of Missouri, Kansas City, MO 64110, USA

  3. 3

    Department of Mathematics, Eastern Michigan University, Ypsilanti, MI 48197, USA

  4. 4

    Department of Mathematics, University of the Aegean, Karlovassi 83200, Samos, Greece

  5. 5

    Department of Statistics and Actuarial-Financial Mathematics, University of the Aegean, Karlovassi 83200, Samos, Greece

Publication History

  1. Issue published online: 28 SEP 2005
  2. Article first published online: 28 SEP 2005
  3. Manuscript Accepted: 2 AUG 2005
  4. Manuscript Revised: 29 JUL 2005
  5. Manuscript Received: 27 NOV 2004

SEARCH

SEARCH BY CITATION

ARTICLE TOOLS

Get PDF (192K)

Keywords:

  • Axiom of Choice;
  • weak axioms of choice;
  • real line

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)

Get PDF (192K)