Linkings, two-sheeted branched coverings and braids
Sbornik. Mathematics, Tome 16 (1972) no. 2, pp. 223-236
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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.
@article{SM_1972_16_2_a5,
author = {O. Ya. Viro},
title = {Linkings, two-sheeted branched coverings and braids},
journal = {Sbornik. Mathematics},
pages = {223--236},
publisher = {mathdoc},
volume = {16},
number = {2},
year = {1972},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1972_16_2_a5/}
}
O. Ya. Viro. Linkings, two-sheeted branched coverings and braids. Sbornik. Mathematics, Tome 16 (1972) no. 2, pp. 223-236. http://geodesic.mathdoc.fr/item/SM_1972_16_2_a5/