On the existence of skinny stationary subsets

Yo Matsubara; Hiroshi Sakai; Toshimichi Usuba

doi:10.1016/j.apal.2018.12.003

On the existence of skinny stationary subsets

Yo Matsubara, Hiroshi Sakai, Toshimichi Usuba

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Journal	Annals of Pure and Applied Logic
DOIs	https://doi.org/10.1016/j.apal.2018.12.003
Publication status	Accepted/In press - 2018 Jan 1

Keywords

Pλ
Saturated ideal
Skinny stationary set

ASJC Scopus subject areas

Logic

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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.",

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