Last Updated :2025/11/28

Kurepa tree

Noun
Japanese Meaning
数学(集合論)の用語。ω₁の高さを持ち、各レベルが高々可算な要素からなり、少なくともℵ₂個の枝を有する木構造を指す。
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セミナーで、彼女は高さ ω₁ で各レベルが高々可算かつ枝が少なくとも ℵ₂ 本ある木の存在が、さまざまな組合せ論的性質を持つ集合論のモデルにどのように影響するかを説明した。

plural

Quizzes for review

(mathematics, set theory) A tree (T, <) of height ω₁, each of whose levels is at most countable, and has at least ℵ₂ branches.

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Kurepa tree

During the seminar, she explained how the existence of a Kurepa tree influences models of set theory with different combinatorial properties.

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During the seminar, she explained how the existence of a Kurepa tree influences models of set theory with different combinatorial properties.

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