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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.  
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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]]
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