On the existence of skinny stationary subsets

Yo Matsubara, Hiroshi Sakai, Toshimichi Usuba

    Research output: Contribution to journal › Article

    Abstract

    Matsubara–Usuba [13] introduced the notion of skinniness and its variants for subsets of Pκλ and showed that the existence of skinny stationary subsets of Pκλ is related to large cardinal properties of ideals over Pκλ and to Jensen's diamond principle on λ. In this paper, we study the existence of skinny stationary sets in more detail.

    Original languageEnglish
    JournalAnnals of Pure and Applied Logic
    DOIs
    Publication statusAccepted/In press - 2018 Jan 1

    Fingerprint

    Stationary Set
    Large Cardinals
    Subset
    Strombus or kite or diamond

    Keywords

    • Pλ
    • Saturated ideal
    • Skinny stationary set

    ASJC Scopus subject areas

    • Logic

    Cite this

    On the existence of skinny stationary subsets. / Matsubara, Yo; Sakai, Hiroshi; Usuba, Toshimichi.

    In: Annals of Pure and Applied Logic, 01.01.2018.

    Research output: Contribution to journal › Article

    Matsubara, Y, Sakai, H & Usuba, T 2018, 'On the existence of skinny stationary subsets', Annals of Pure and Applied Logic. https://doi.org/10.1016/j.apal.2018.12.003
    Matsubara Y, Sakai H, Usuba T. On the existence of skinny stationary subsets. Annals of Pure and Applied Logic. 2018 Jan 1. https://doi.org/10.1016/j.apal.2018.12.003
    Matsubara, Yo ; Sakai, Hiroshi ; Usuba, Toshimichi. / On the existence of skinny stationary subsets. In: Annals of Pure and Applied Logic. 2018.
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