7 problems.
- No compact 4-manifold is homotopy equivalent to the suspension of RP^3
- Every map from RP^2 to the torus is null-homotopic
- Homology of a product of spaces with H_k = Z/kZ
- Z3 action on a genus-3 surface has at least two fixed points
- A 3-manifold with torsion in H_1 cannot embed in S^3
- \(\pi_4\) of \(\RP^3\) with a \(4\)-cell attached via the antipodal quotient
- A CW complex with \(\pi_1\cong\ZZ^2\) and no higher homotopy is \(S^1\times S^1\); surface groups have no \(\ZZ^2\) subgroups