homotopy theory

英語（米国） (en-US) 英語（イギリス） (en-GB)

名詞

可算名詞 不可算名詞

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

このボタンはなに？

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

詳細

意味（1）

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

Homotopy theory originated as a topic in algebraic topology, but is now studied as an independent discipline in its own right, and as a tool in fields including category theory and algebraic geometry.

詳細

homotopy theories （ 複数形 ）