Abstract
We give necessary and sufficient conditions for a 4-manifold to be a branched covering of C P 2 , S 2 × S 2 , S 2 × ∼ S 2 or S 3 × S 1 , which are expressed in terms of the Betti numbers and the signature of the 4-manifold. Moreover, we extend these results to include branched coverings of connected sums of the above manifolds. This leads to some new examples of closed simply connected quasiregularly elliptic 4-manifolds.
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