Last Updated
：2025/11/22
classifying space
Noun
Japanese Meaning
数学において、指定された群が弱収縮空間上で自由に作用した結果として得られる商空間。つまり、群の作用によって定義される一種の位相空間で、対象群の分類に用いられる。
（ plural ）
Quizzes for review
(mathematics) A topological space that is the quotient of a free action (of the specified group) on a weakly contractible space.
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classifying space
In many textbooks, the classifying space of a group is constructed as the quotient of a free action on a weakly contractible space.
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In many textbooks, the classifying space of a group is constructed as the quotient of a free action on a weakly contractible space.
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