Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-22T16:17:33.041Z Has data issue: false hasContentIssue false
  • English
  • Français

The cofinality of the strong measure zero ideal

Published online by Cambridge University Press:  12 March 2014

Teruyuki Yorioka
Teruyuki Yorioka*
Affiliation:
Graduate School of Science and Technology, Kobe University, Rokkodai, Nada-Ku, Kobe 657-8501, Japan, E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

We give a characterization of the cofinality of the strong measure zero ideal under the continuum hypothesis and prove that we can force it to a value less than the power of the continuum.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 67 , Issue 4 , December 2002 , pp. 1373 - 1384
Copyright
Copyright © Association for Symbolic Logic 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]Bartoszyński, Tomek and Judah, Haim, Set theory: On the structure of the real line, A. K. Peters, Wellesley, Massachusetts, 1995.CrossRefGoogle Scholar
[2]Borel, Emil, Sur la classification des ensembles de mesure nulle, Bulletin de la Société Mathématique de France, vol. 47 (1919), pp. 97–125.CrossRefGoogle Scholar
[3]Kunen, Kenneth, Set theory: An introduction to independence proofs, Studies in Logic, vol. 102, North Holland, 1980.Google Scholar
[4]Seredeyński, Witold, Some operations related with translation, Colloquium Mathematicum, vol. 57 (1989), no. 2, pp. 203–219.CrossRefGoogle Scholar