Partition properties on Pκλ

• KAMO Shizuo

  University of Osaka Prefecture

書誌事項

タイトル別名

• Partition properties on \mathscr{P}<SUB>κ</SUB>λ
• Partition properties on P kl

抄録

Menas [{13}] showed there exist 2^{2^{λ^<κ}} normal ultrafilters on \mathscr{P}_κλ with the partition property if κ is 2^{λ^<κ}-supercompact. We first show that λ-supercompactness of κ implies the existence of a normal ultrafilter on \mathscr{P}_κλ with the partition property. We also prove by a similar technic that part^*(κ, λ) holds if κ is λ-ineffable with cf(λ)≥qκ. Note that Magidor [{11}] showed κ is λ-ineffable if part^*(κ, λ) holds, and we proved the converse under some additional assumption in [7].

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 54 (1), 123-133, 2002

  一般社団法人 日本数学会

キーワード

• normal ultrafilter
• supercompactness
• partition property

詳細情報

• CRID: 1390001205115980416
• NII論文ID: 10007767516
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/1191593957
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1864930
• NDL書誌ID: 6080285
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6080285
• 本文言語コード: en
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