TY - JOUR
T1 - Large normal ideals concentrating on a fixed small cardinality
AU - Shelah, Saharon
PY - 1996/11
Y1 - 1996/11
N2 - The property on the filter in Definition 1, a kind of large cardinal property, suffices for the proof in Liu Shelah [LiSh484] and is proved consistent as required there (see Conclusion 6). A natural property which looks better, not only is not obtained here, but is shown to be false (in Claim 7). On earlier related theorems see Gitik Shelah [GiSh310]. On such games see e.g. [Je], [Sh-b], [Sh-f].
AB - The property on the filter in Definition 1, a kind of large cardinal property, suffices for the proof in Liu Shelah [LiSh484] and is proved consistent as required there (see Conclusion 6). A natural property which looks better, not only is not obtained here, but is shown to be false (in Claim 7). On earlier related theorems see Gitik Shelah [GiSh310]. On such games see e.g. [Je], [Sh-b], [Sh-f].
UR - http://www.scopus.com/inward/record.url?scp=0030305738&partnerID=8YFLogxK
U2 - 10.1007/s001530050049
DO - 10.1007/s001530050049
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AN - SCOPUS:0030305738
SN - 0933-5846
VL - 35
SP - 341
EP - 347
JO - Archive for Mathematical Logic
JF - Archive for Mathematical Logic
IS - 5-6
ER -