Space with abelian fundamental group
This article defines a homotopy-invariant property of topological spaces, i.e. a property of homotopy classes of topological spaces
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This property of topological spaces is defined as the property of the following associated group: fundamental group having the following group property: Abelian group
Definition
A topological space is said to have Abelian fundamental group if it is path-connected and the fundamental group at any point is Abelian.