3 problems

Li–Ni's conjecture. If $M$ is a closed oriented reducible $3$-manifold, then

Virtual Betti number conjecture. One has

Let $M$ be a hyperbolic $3$-manifold. Property $(FAb)$ means that every finite-index subgroup has finite abelianization. Thurston–Waldhausen's VPBN conjecture. The manifold $M$ has…