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The fundamental group is a concept in the study of [[algebraic topology]].  For every point in a [[topological space]], one can associate with it a group that conveys information on an open neighbourhood of that point. The fundamental group is also the first [[homotopy group]].

The fundamental group is a concept in the study of [[algebraic topology]], used primarily to distinguish one [[topological space]] from another. The fundamental group is the first [[homotopy group]], defined at a particular point to be the set of loops based at the point, modulo the relationship of being contractible to the identity loop.  

[[Category:Topology]]

[[Category:Topology]]

[[Category:Algebra]]

[[Category:Algebra]]