Last Updated：2025/11/23

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(mathematics) The branch of mathematics that uses tools from abstract algebra to study topological spaces.

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algebraic topology

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Source Word

algebraic topology

Noun

uncountable

(mathematics) The branch of mathematics that uses tools from abstract algebra to study topological spaces.

Japanese Meaning

抽象代数学の概念や道具を用いて、位相空間を研究する数学の一分野。 / 代数的位相（幾何学）：代数的手法を通じて位相的性質を解析する学問分野。

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Many recent breakthroughs in quantum field theory were inspired by concepts from algebraic topology.

Google Translation / DeepL Translation

量子場理論における最近の多くの進展は、代数的位相幾何学の概念から着想を得ました。

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(mathematics) The branch of mathematics that uses tools from abstract algebra to study topological spaces.

The basic goal of algebraic topology is to find algebraic invariants that classify topological spaces up to homeomorphism, although most usually classify up to homotopy (homeomorphism being a special case of homotopy).

Google Translation / DeepL Translation

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algebraic topology

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