Last Updated
：2025/12/05
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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(mathematics) A formula that counts the fixed points of a continuous mapping from a compact topological space X to itself by means of traces of the induced mappings on the homology groups of X.
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Lefschetz fixed-point theorem
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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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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