Last Updated：2025/12/05
Sentence
代数的トポロジーのセミナーでは、レフシェッツの不動点定理は、コンパクトな位相空間への連続な自己写像の不動点を、ホモロジー群に誘導される写像の跡（トレース）を用いて数える強力な手法としてしばしば紹介される。
Quizzes for review
In algebraic topology seminars, the Lefschetz fixed-point theorem is often presented as a powerful tool that counts fixed points of a continuous self-map of a compact space via traces on the induced homology maps.
See correct answer
In algebraic topology seminars, the Lefschetz fixed-point theorem is often presented as a powerful tool that counts fixed points of a continuous self-map of a compact space via traces on the induced homology maps.
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Related words
Lefschetz fixed-point theorem
Proper noun
Japanese Meaning
コンパクトな位相空間 X 上の連続写像に対して、その写像により誘導されるホモロジー群上の写像のトレースを用い、不変点（固定点）の数を計算するための公式。
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