KnowraFundamental groupLinked fromLinked fromThe 29 pages that link to Fundamental group, each with the reason it gives.All 29Broader topic 5Related 19Narrower topic 4Compared with 1Henri PoincaréBroader topic: Poincaré introduced this invariant as a tool for distinguishing topological spaces.Algebraic topologyBroader topic: It captures one-dimensional loop structure, including distinctions invisible to homology.Homology groupBroader topic: The first homology group is the abelianization of the fundamental group for a path-connected space.HomotopyBroader topic: It records which loops can or cannot be deformed into one another.Lefschetz hyperplane theoremBroader topic: In dimensions where the theorem applies, a hyperplane section inherits the ambient fundamental group.