Covering of the null ideal may have countable cofinality

• Autorzy: Saharon Shelah
• Języki publikacji: EN

Abstrakty

EN

We prove that it is consistent that the covering number of the ideal of measure zero sets has countable cofinality.

Słowa kluczowe

EN

null sets; cardinal invariants of the continuum; iterated forcing; ccc forcing

Kategorie tematyczne

• 03E17: Cardinal characteristics of the continuum
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2000
• Tom: 166
• Numer: 1-2
• Strony: 109-136

Daty

wydano

1999-06-17

Twórcy

autor

Saharon Shelah

• Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel,
• Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, U.S.A.

Bibliografia

• [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 $ℵ_ε$-support, Arch. Math. Logic, accepted.
• [Sh 619] S. Shelah, The null ideal restricted to a non-null set may be saturated, preprint.