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The covering number and the uniformity of the ideal ℐf.
- Source :
-
Mathematical Logic Quarterly . Jul2006, Vol. 52 Issue 4, p351-358. 8p. 1 Chart. - Publication Year :
- 2006
-
Abstract
- Let f, g ∈ ωω . We will denote by g ≫ f that for every k < ω, f (nk) ≤ g (n ) except for finitely many n . The ideal ℐf on ω2 is the collection of sets X such that, for some g ≫ f and τ ∈ ∏n <ωg (n )2, every x ∈ X satisfies τ (n ) ⊂ x for infinitely many n . In the present paper, we will prove the consistency of cov(ℐf) < &cfr; and non(ℐf) < &cfr;. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09425616
- Volume :
- 52
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Mathematical Logic Quarterly
- Publication Type :
- Academic Journal
- Accession number :
- 21749437
- Full Text :
- https://doi.org/10.1002/malq.200610001