ArticleOriginal scientific text
Title
Covering of the null ideal may have countable cofinality
Authors 1, 2
Affiliations
- Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel
- Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, U.S.A.
Abstract
We prove that it is consistent that the covering number of the ideal of measure zero sets has countable cofinality.
Keywords
null sets, cardinal invariants of the continuum, iterated forcing, ccc forcing
Bibliography
- [Ba88] T. Bartoszyński, On covering of real line by null sets, Pacific J. Math.,131 (1988), 1-12.
- [BaJu95] T. Bartoszyński and H. Judah, Set Theory: On the Structure of the Real Line, A K Peters, Wellesley, MS, 1995.
- [Fe94] D. Fremlin, Problem list, circulated notes, 1994.
- [Ko] P. Komjáth, On second-category sets, Proc. Amer. Math. Soc. 107 (1989), 653-654.
- [Mi82] A. W. Miller, A characterization of the least cardinal for which the Baire category theorem fails, Proc. Amer. Math. Soc. 86 (1982), 498-502.
- [Sh 538] S. Shelah, Historic iteration with
-support, Arch. Math. Logic, accepted. - [Sh 619] S. Shelah, The null ideal restricted to a non-null set may be saturated, preprint.