Algebraic & Geometric Topology

Algebraic and Geometric Topology are two important branches of topology, a field of mathematics that studies the properties of space that are preserved under continuous transformations. ### Algebraic Topology Algebraic topology focuses on the study of topological spaces with algebraic methods. One of its primary goals is to associate algebraic structures (like groups or rings) with topological spaces in order to extract information about their shape, structure, and properties.