Algebraic topology is the study of the global properties of spaces by means of algebra.

代数学的拓扑是透过代数空间的全球特性的研究.

Some more advanced algebraic topology may also be useful as might some knowledge of category theory.

更深入的代数拓扑学以及范畴理论的知识将有更大的帮助.

Knowledge of elementary algebraic topology and elementary differential geometry is recommended, but not required.

建议事先知道一些关于代数拓扑和微分几何的基本知识, 但不是必需的.