## On branched coverings of 3-manifolds which fiber over the circle.(English)Zbl 0565.57006

We show that any 3-manifold has a branched double covering which is hyperbolic and fibers over the circle. The genus of the fiber can be taken to be max(2,H(M)), where H(M) is the Heegaard genus of M.

### MSC:

 57M12 Low-dimensional topology of special (e.g., branched) coverings 57N10 Topology of general $$3$$-manifolds (MSC2010)
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