Comparing the uniformity invariants of null sets for different measures

Saharon Shelah, Juris Steprans*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

It is shown to be consistent with set theory that the uniformity invariant for Lebesgue measure is strictly greater than the corresponding invariant for Hausdorff r-dimensional measure where 0<r<1.

Original languageEnglish
Pages (from-to)403-426
Number of pages24
JournalAdvances in Mathematics
Volume192
Issue number2
DOIs
StatePublished - 1 Apr 2005
Externally publishedYes

Keywords

  • Hausdorff measure
  • Lebesgue measure
  • Null set
  • Product forcing
  • Proper forcing
  • Uniformity cardinal invariant

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