Original Paper

Choice principles for special subsets of the real line

  1. Kyriakos Keremedis,
  2. Eleftherios Tachtsis

Article first published online: 3 JUL 2003

DOI: 10.1002/malq.200310048

Issue

Mathematical Logic Quarterly

Mathematical Logic Quarterly

Volume 49, Issue 5, pages 444–454, September 2003

Additional Information

How to Cite

Keremedis, K. and Tachtsis, E. (2003), Choice principles for special subsets of the real line. Mathematical Logic Quarterly, 49: 444–454. doi: 10.1002/malq.200310048

Author Information

  1. Department of Statistics and Actuarial Science, University of the Aegean, Karlovasi, 83200, Samos, Greece

Publication History

  1. Issue published online: 3 JUL 2003
  2. Article first published online: 3 JUL 2003
  3. Manuscript Accepted: 12 FEB 2003
  4. Manuscript Revised: 10 FEB 2003
  5. Manuscript Received: 20 NOV 2002

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Keywords:

  • Axiom of choice;
  • weak axioms of choice;
  • Lebesgue measure;
  • null set;
  • nowhere dense set;
  • meager set;
  • Borel algebra;
  • perfect set

Abstract

We study the role the axiom of choice plays in the existence of some special subsets of ℝ and its power set ℘(ℝ).

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