Space with torsion-free homology

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This article defines a property of topological spaces that depends only on the homology of the topological space, viz it is completely determined by the homology groups. In particular, it is a homotopy-invariant property of topological spaces


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Definition

A topological space is said to have torsion-free homology if all its homology groups are torsion-free Abelian groups.

Relation with other properties

Stronger properties