Abstract:
We prove that every closed connected orientable three-dimensional $pl$-manifold of genus not greater than 2 is $pl$-homeomorphic to a two-sheeted branched covering of the sphere $S^3$. An analogous result is established for fibrations over $S^1$. An example is constructed of nonhomeomorphic linkings with homeomorphic two-sheeted branched coverings.
Figures: 8.
Bibliography: 11 titles.
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