On ℵ_0-Complete Cardinals and Π^1_1-Class of Ordinals : Dedicated to Professor M. Kondo on his 60-th birthday

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概要

• 論文の詳細を見る

• It is well-known that for many classes of ordinal numbers the first element of the class can not be an ℵ_0-complete cardinal number. For example, the first strongly inaccessible cardinal, the first hyper-inaceessible cardinal and so on satisfy this condition. But it is still not known that exactly for what kind of classes does this hold. In this paper, we shall state rather general treatments of this problem. Throughout this paper, we assume that there exists an ℵ_0-complete cardinal number.

• 科学基礎論学会の論文
• 1967-03-26

著者

• Namba Kanji

  Tokyo University Of Education

関連論文

• On a Comprehension Axiom without Negation
• On ℵ_0-Complete Cardinals and Π^1_1-Class of Ordinals : Dedicated to Professor M. Kondo on his 60-th birthday
• On Arithmetical Extension Operators
• On ℜ0-complete cardinals

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