A measure theoretic basis theorem for Π12

• FUJITA Hiroshi

  Department of Mathematical Sciences Faculty of Science Ehime University

書誌事項

タイトル別名

• A measure theoretic basis theorem for Π<SUB>2</SUB><SUP>1</SUP>
• measure theoretic basis theorem for パイ 12
• A measure theoretic basis theorem for Π21

抄録

Using the covering game, we prove that every (lightface) Π₂¹-set of positive Lebesgue measure contains a member which is arithmetical in 0^{\#}. This result generalizes a result for Π₁¹ due to Sacks and Tanaka.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 52 (2), 335-341, 2000

  一般社団法人 日本数学会

キーワード

• Analytical hierarchy
• basis theorem
• covering games
• determinacy
• zero-sharp

詳細情報

• CRID: 1390001205115995904
• NII論文ID: 10004480233
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/05220335
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1742800
• NDL書誌ID: 5374839
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5374839
• 本文言語コード: en
• データソース種別:
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