Hatcher, *Algebraic Topology*, Chapter 2, Section 1

**29. Show that and have isomorphic homology groups in all dimensions, but their universal covering spaces do not. **

*Proof.*

Hatcher, *Algebraic Topology*, Chapter 2, Section 1

**29. Show that and have isomorphic homology groups in all dimensions, but their universal covering spaces do not. **

*Proof.*

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