TY - JOUR
T1 - On the existence of skinny stationary subsets
AU - Matsubara, Yo
AU - Sakai, Hiroshi
AU - Usuba, Toshimichi
N1 - Funding Information:
Acknowledgment. The authors are grateful to an anonymous referee for his or her useful comments and suggestions. Among other things, the notion of really skinny sets was suggested by a referee. This work was supported by JSPS KAKENHI Grant Number 18K03397 and 18K03403 .
Publisher Copyright:
© 2018 Elsevier B.V.
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2019/5
Y1 - 2019/5
N2 - Matsubara–Usuba [13] introduced the notion of skinniness and its variants for subsets of P κ λ and showed that the existence of skinny stationary subsets of P κ λ is related to large cardinal properties of ideals over P κ λ and to Jensen's diamond principle on λ. In this paper, we study the existence of skinny stationary sets in more detail.
AB - Matsubara–Usuba [13] introduced the notion of skinniness and its variants for subsets of P κ λ and showed that the existence of skinny stationary subsets of P κ λ is related to large cardinal properties of ideals over P κ λ and to Jensen's diamond principle on λ. In this paper, we study the existence of skinny stationary sets in more detail.
KW - P λ
KW - Saturated ideal
KW - Skinny stationary set
UR - http://www.scopus.com/inward/record.url?scp=85059180812&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85059180812&partnerID=8YFLogxK
U2 - 10.1016/j.apal.2018.12.003
DO - 10.1016/j.apal.2018.12.003
M3 - Article
AN - SCOPUS:85059180812
VL - 170
SP - 539
EP - 557
JO - Annals of Pure and Applied Logic
JF - Annals of Pure and Applied Logic
SN - 0168-0072
IS - 5
ER -