TY - JOUR
T1 - Hierarchies of ineffabilities
AU - Usuba, Toshimichi
PY - 2013/5/1
Y1 - 2013/5/1
N2 - We study combinatorial large cardinal properties on P κ λ, such as ineffability, almost ineffability, subtlety, and the Shelah property. We show that, even when λ > κ, the almost ineffability of P κ λ does not yield the ineffability of κ. We also show that the Shelah property and the partition property of P κ λ do not yield the subtlety of κ.
AB - We study combinatorial large cardinal properties on P κ λ, such as ineffability, almost ineffability, subtlety, and the Shelah property. We show that, even when λ > κ, the almost ineffability of P κ λ does not yield the ineffability of κ. We also show that the Shelah property and the partition property of P κ λ do not yield the subtlety of κ.
KW - P κ λ Ineffability
KW - Subtlety
KW - The Shelah property
KW - The partition property
UR - http://www.scopus.com/inward/record.url?scp=84877685206&partnerID=8YFLogxK
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U2 - 10.1002/malq.201200003
DO - 10.1002/malq.201200003
M3 - Article
AN - SCOPUS:84877685206
SN - 0942-5616
VL - 59
SP - 230
EP - 237
JO - Mathematical Logic Quarterly
JF - Mathematical Logic Quarterly
IS - 3
ER -