Virtual domination of 3-manifolds II

Abstract

For any closed oriented 3-manifold $M$ with positive simplicial volume and any closed oriented 3-manifold $N$, we prove that there exists a finite cover $M^{\prime }$ of $M$ that admits a degree-1 map $f:M^{\prime }\to M$, i.e. M virtually 1-dominates N. This result generalizes previous virtual domination results with closed hyperbolic domain to more general domains.

45 pages