Original Paper

Metric spaces and the axiom of choice

  1. Omar De la Cruz1,
  2. Eric Hall,
  3. Paul Howard2,
  4. Kyriakos Keremedis3,
  5. Jean E. Rubin†

Article first published online: 3 JUL 2003

DOI: 10.1002/malq.200310049

Issue

Mathematical Logic Quarterly

Mathematical Logic Quarterly

Volume 49, Issue 5, pages 455–466, September 2003

Additional Information

How to Cite

De la Cruz, O., Hall, E., Howard, P., Keremedis, K. and Rubin, J. E. (2003), Metric spaces and the axiom of choice. Mathematical Logic Quarterly, 49: 455–466. doi: 10.1002/malq.200310049

Author Information

  1. 1

    Department of Mathematics, Purdue University, West Lafayette, IN 47907, U. S. A.

  2. 2

    Department of Mathematics, Eastern Michigan University, Ypsilanti, MI 48197, U. S. A.

  3. 3

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

  1. †

    Jean Rubin died on October 25, 2002.

Publication History

  1. Issue published online: 3 JUL 2003
  2. Article first published online: 3 JUL 2003
  3. Manuscript Accepted: 22 JAN 2003
  4. Manuscript Revised: 20 JAN 2003
  5. Manuscript Received: 14 SEP 2002

SEARCH

SEARCH BY CITATION

ARTICLE TOOLS

Get PDF (173K)

Keywords:

  • Topological space;
  • metric space;
  • metrizable;
  • axiom of choice

Abstract

We study conditions for a topological space to be metrizable, properties of metrizable spaces, and the role the axiom of choice plays in these matters.

Get PDF (173K)