Space with torsion-free homology
From Topospaces
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 spacesView all homology-dependent properties of topological spaces OR view all homotopy-invariant properties of topological spaces OR view all properties of topological spaces
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
- Space with free homology: Note that the two properties are equivalent for a space with homology of finite type
