Geometric topology (object)

Geometric topology is a branch of mathematics that studies the properties of topological spaces and the structures that arise from geometric objects. It primarily focuses on the properties of spaces that are preserved under continuous transformations (homeomorphisms). The field combines ideas from algebraic topology, differential topology, and various geometric considerations. Some key areas of interest in geometric topology include: 1. **3-Manifolds**: A significant portion of geometric topology is devoted to the study of three-dimensional manifolds.