Order:
  1.  16
    Many different covering numbers of Yorioka’s ideals.Noboru Osuga & Shizuo Kamo - 2014 - Archive for Mathematical Logic 53 (1-2):43-56.
    For ${b \in {^{\omega}}{\omega}}$ , let ${\mathfrak{c}^{\exists}_{b, 1}}$ be the minimal number of functions (or slaloms with width 1) to catch every functions below b in infinitely many positions. In this paper, by using the technique of forcing, we construct a generic model in which there are many coefficients ${\mathfrak{c}^{\exists}_{{b_\alpha}, 1}}$ with pairwise different values. In particular, under the assumption that a weakly inaccessible cardinal exists, we can construct a generic model in which there are continuum many coefficients ${\mathfrak{c}^{\exists}_{{b_\alpha}, 1}}$ (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  2.  26
    The cardinal coefficients of the Ideal $${{\mathcal {I}}_{f}}$$.Noboru Osuga & Shizuo Kamo - 2008 - Archive for Mathematical Logic 47 (7-8):653-671.
    In 2002, Yorioka introduced the σ-ideal ${{\mathcal {I}}_f}$ for strictly increasing functions f from ω into ω to analyze the cofinality of the strong measure zero ideal. For each f, we study the cardinal coefficients (the additivity, covering number, uniformity and cofinality) of ${{\mathcal {I}}_f}$.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  3.  17
    The covering number and the uniformity of the ideal ℐf.Noboru Osuga - 2006 - Mathematical Logic Quarterly 52 (4):351-358.
    Direct download  
     
    Export citation  
     
    Bookmark   3 citations