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Last Updated：2025/11/22

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Morse theory provides powerful tools for analyzing the topology of manifolds by examining critical points of smooth real-valued functions.

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Morse theory provides powerful tools for analyzing the topology of manifolds by examining critical points of smooth real-valued functions.

多様体から実数への可微分関数を扱う理論は、滑らかな実数値関数の臨界点を調べることで多様体の位相を解析する強力な手法を提供する。