Last Updated :2025/12/06

homotopy theory

Noun
countable uncountable
Japanese Meaning
数学における分野で、連続写像同士のホモトピー(連続変形)を扱い、それらのホモトピー類(同値類)を研究する理論。 / 写像間のホモトピー関係を調べ、同値な写像の集合を分類・解析する数学的手法。
What is this buttons?

大学院のゼミでは、ホモトピー理論が連続写像の研究を通して位相空間の隠れた構造を明らかにすることを議論しました。

plural

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(mathematics) The systematic study of the situation of maps' having a homotopy between them; the study of equivalence classes (called homotopy classes) of maps.

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homotopy theory

During the graduate seminar, we discussed how homotopy theory reveals hidden structures in topological spaces through the study of continuous maps.

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During the graduate seminar, we discussed how homotopy theory reveals hidden structures in topological spaces through the study of continuous maps.

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