On the existence of skinny stationary subsets

• Matsubara, Yo

• Sakai, Hiroshi

• Usuba, Toshimichi

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.

Journal

• Annals of Pure and Applied Logic

  Annals of Pure and Applied Logic 170 (5), 539-557, 2019-05

  Elsevier B.V.

Keywords

• Pκλ
• Skinny stationary set
• Saturated ideal

Details

• CRID: 1050012570393051008
• NII Article ID: 120006604682
• DOI: 10.1016/j.apal.2018.12.003
• HANDLE: 20.500.14094/90005843
• ISSN: 01680072
• Web Site: https://api.elsevier.com/content/article/PII:S0168007218301477?httpAccept=text/xml
• Web Site: https://api.elsevier.com/content/article/PII:S0168007218301477?httpAccept=text/plain
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN