#### Volume 19, issue 4 (2015)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1364-0380 ISSN (print): 1465-3060
Virtual domination of $3$–manifolds

### Hongbin Sun

Geometry & Topology 19 (2015) 2277–2328
##### Abstract

For any closed oriented hyperbolic $\mathfrak{3}$–manifold $M$ and any closed oriented $\mathfrak{3}$–manifold $N$, we show that $M$ admits a finite cover ${M}^{\prime }$ such that there exists a degree-$\mathfrak{2}$ map $f:{M}^{\prime }\to N$, ie $M$ virtually $\mathfrak{2}$–dominates $N$.

##### Keywords
hyperbolic $3$–manifold, finite cover, degree-nonzero map
##### Mathematical Subject Classification 2010
Primary: 57M10
Secondary: 30F40, 57M50