2 problems

Let $M^{3}$ be a closed, oriented Haken $3$-manifold. A compact, oriented Haken $4$-manifold $W^{4}$ is required to have boundary $\partial W^{4}=M^{3}$, with boundary understood t…

Borel conjecture for Haken manifolds. The map $f$ is homotopic to a homeomorphism.