 Nonabelian algebraic topology

Nonabelian algebraic topology is a branch of algebraic topology that focuses on the study of topological spaces and their properties using tools from nonabelian algebraic structures, particularly groups that do not necessarily commute. While traditional algebraic topology often deals with abelian groups (like homology and cohomology groups), nonabelian algebraic topology extends these ideas to settings where the relevant algebraic objects are nonabelian groups.