Last Updated:2025/11/22
Sentence

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。

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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.

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Morse theory

Noun
uncountable
Japanese Meaning
多様体上の微分可能関数の性質を解析する数学の理論。各関数は定義域が多様体であり、値域が実数直線であることを特徴とする。
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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。

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