Space with abelian fundamental group
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This article defines a homotopy-invariant property of topological spaces, i.e. a property of homotopy classes of topological spaces
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Relation with other properties
This property of topological spaces is closed under taking arbitrary products
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This corresponds to the algebraic fact that a direct product of Abelian groups is Abelian.
This property of topological spaces is hereditary on retracts, viz if a space has the property, so does any retract of it
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This corresponds to the algebraic fact that a group-theoretic retract of an Abelian group is Abelian.