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  1. Splitting P Κλ Into Stationary Subsets.Yo Matsubara - 1988 - Journal of Symbolic Logic 53 (2):385-389.
    We show that if κ is an inaccessible cardinal then P κ λ splits into $\lambda^{ many disjoint stationary subsets. We also show that if P κ λ carries a strongly saturated ideal then the nonstationary ideal cannot be λ + -saturated.
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  2. Saturated Ideals and the Singular Cardinal Hypothesis.Yo Matsubara - 1992 - Journal of Symbolic Logic 57 (3):970-974.
  3.  6
    Nowhere Precipitousness of the Non-Stationary Ideal Over.Yo Matsubara & Saharon Shelah - 2002 - Journal of Mathematical Logic 2 (01):81-89.
  4.  72
    On Skinny Stationary Subsets Of.Yo Matsubara & Toschimichi Usuba - 2013 - Journal of Symbolic Logic 78 (2):667-680.
    We introduce the notion of skinniness for subsets of $\mathcal{P}_\kappa \lambda$ and its variants, namely skinnier and skinniest. We show that under some cardinal arithmetical assumptions, precipitousness or $2^\lambda$-saturation of $\mathrm{NS}_{\kappa\lambda}\mid X$, where $\mathrm{NS}_{\kappa\lambda}$ denotes the non-stationary ideal over $\mathcal{P}_\kappa \lambda$, implies the existence of a skinny stationary subset of $X$. We also show that if $\lambda$ is a singular cardinal, then there is no skinnier stationary subset of $\mathcal{P}_\kappa \lambda$. Furthermore, if $\lambda$ is a strong limit singular cardinal, there (...)
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  5.  7
    On the Existence of Skinny Stationary Subsets.Yo Matsubara, Hiroshi Sakai & Toshimichi Usuba - 2019 - Annals of Pure and Applied Logic 170 (5):539-557.
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  6.  6
    Menas' Conjecture and Generic Ultrapowers.Yo Matsubara - 1987 - Annals of Pure and Applied Logic 36 (3):225-234.
    We apply the technique of generic ultrapowers to study the splitting problem of stationary subsets of P K λ . We present some conditions which guarantee the splitting of stationary subsets of P K λ.
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  7.  20
    Nowhere Precipitousness of Some Ideals.Yo Matsubara & Masahiro Shioya - 1998 - Journal of Symbolic Logic 63 (3):1003-1006.
  8.  24
    Ideals and Combinatorial Principles.Douglas Burke & Yo Matsubara - 1997 - Journal of Symbolic Logic 62 (1):117-122.
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  9.  3
    Splitting $P_kappalambda$ Into Stationary Subsets.Yo Matsubara - 1988 - Journal of Symbolic Logic 53 (2):385-389.
    We show that if $\kappa$ is an inaccessible cardinal then $P_\kappa\lambda$ splits into $\lambda^{<\kappa}$ many disjoint stationary subsets. We also show that if $P_\kappa\lambda$ carries a strongly saturated ideal then the nonstationary ideal cannot be $\lambda^+$-saturated.
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