{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T20:34:58Z","timestamp":1768336498592,"version":"3.49.0"},"reference-count":12,"publisher":"MathDoc\/Centre Mersenne","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>\n                    Let\n                    <jats:italic>M<\/jats:italic>\n                    and\n                    <jats:italic>M<\/jats:italic>\n                    \u2032 be 3-manifolds and\n                    <jats:italic>L<\/jats:italic>\n                    a link in\n                    <jats:italic>M<\/jats:italic>\n                    \u2032. We prove that, under certain conditions, the degree of a branched covering\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:mrow>\n                        <mml:mi>\u03c0<\/mml:mi>\n                        <mml:mspace width=\"1.69998pt\"\/>\n                        <mml:mo>:<\/mml:mo>\n                        <mml:mi mathvariant=\"normal\">M<\/mml:mi>\n                        <mml:mo>\u2192<\/mml:mo>\n                        <mml:mo>(<\/mml:mo>\n                        <mml:mi mathvariant=\"normal\">M<\/mml:mi>\n                        <mml:mo>'<\/mml:mo>\n                        <mml:mo>,<\/mml:mo>\n                        <mml:mi mathvariant=\"normal\">L<\/mml:mi>\n                        <mml:mo>)<\/mml:mo>\n                      <\/mml:mrow>\n                    <\/mml:math>\n                    is determined by the topological types of\n                    <jats:italic>M<\/jats:italic>\n                    and\u00a0(\n                    <jats:italic>M<\/jats:italic>\n                    \u2032,\n                    <jats:italic>L<\/jats:italic>\n                    ).\n                  <\/jats:p>","DOI":"10.1016\/s1631-073x(02)00023-7","type":"journal-article","created":{"date-parts":[[2003,3,4]],"date-time":"2003-03-04T09:52:27Z","timestamp":1046771547000},"page":"169-174","source":"Crossref","is-referenced-by-count":0,"title":["On the degrees of branched coverings over links"],"prefix":"10.5802","volume":"336","author":[{"given":"Ant\u00f3nio M.","family":"Salgueiro","sequence":"first","affiliation":[]}],"member":"3842","published-online":{"date-parts":[[2003,1,15]]},"reference":[{"key":"key2025102009594365772_1","article-title":"Geometrization on 3-orbifolds of cyclic type","volume":"272","author":"Boileau, M.","year":"2000","unstructured":"[1] Boileau, M.; Porti, J. Geometrization on 3-orbifolds of cyclic type, Ast\u00e9risque, Volume 272 (2000)","journal-title":"Ast\u00e9risque"},{"key":"key2025102009594365772_2","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1007\/BF01458079","article-title":"The characteristic toric splitting of irreducible compact 3-orbifolds","volume":"278","author":"Bonahon, F.","year":"1987","unstructured":"[2] Bonahon, F.; Siebenmann, L. The characteristic toric splitting of irreducible compact 3-orbifolds, Math. Ann., Volume 278 (1987), pp. 441-479","journal-title":"Math. Ann."},{"key":"key2025102009594365772_3","article-title":"Seifert fibered spaces in 3-manifolds","volume":"220","author":"Jaco, W.H.","year":"1979","unstructured":"[3] Jaco, W.H.; Shalen, P.B. Seifert fibered spaces in 3-manifolds, Mem. Amer. Math. Soc., Volume 220 (1979)","journal-title":"Mem. Amer. Math. Soc."},{"key":"key2025102009594365772_4","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0085406","volume":"761","author":"Johannson, K.","year":"1979","unstructured":"[4] Johannson, K. Homotopy Equivalences of 3-Manifolds with Boundary, Lect. Notes in Math., 761, Springer, 1979","journal-title":"Homotopy Equivalences of 3-Manifolds with Boundary"},{"key":"key2025102009594365772_5","volume":"183","author":"Kapovich, M.","year":"2001","unstructured":"[5] Kapovich, M. Hyperbolic Manifolds and Discrete Groups, Progress in Math., 183, Birkh\u00e4user, 2001","journal-title":"Hyperbolic Manifolds and Discrete Groups"},{"key":"key2025102009594365772_6","first-page":"273","volume":"32","author":"Kirby, R.","year":"1978","unstructured":"[6] Kirby, R. Problems in low dimensional manifold theory (Milgram, R.J., ed.), Proc. Sympos. Pure Math., 32, American Mathematical Society, 1978, pp. 273-312","journal-title":"Problems in low dimensional manifold theory"},{"key":"key2025102009594365772_7","doi-asserted-by":"crossref","first-page":"441","DOI":"10.2307\/1971088","article-title":"Topology of 3-dimensional manifolds and the embedding problems in minimal surface theory","volume":"112","author":"Meeks, W.H.","year":"1980","unstructured":"[7] Meeks, W.H.; Yau, S.-T. Topology of 3-dimensional manifolds and the embedding problems in minimal surface theory, Ann. Math., Volume 112 (1980), pp. 441-484","journal-title":"Ann. Math."},{"key":"key2025102009594365772_8","article-title":"Le th\u00e9or\u00e8me d'hyperbolisation pour les vari\u00e9t\u00e9s fibr\u00e9es de dimension 3","volume":"235","author":"Otal, J.-P.","year":"1996","unstructured":"[8] Otal, J.-P. Le th\u00e9or\u00e8me d'hyperbolisation pour les vari\u00e9t\u00e9s fibr\u00e9es de dimension 3, Ast\u00e9risque, Volume 235 (1996)","journal-title":"Ast\u00e9risque"},{"key":"key2025102009594365772_9","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1007\/BF02398271","article-title":"Topologie dreidimensionaler gefaserter R\u00e4ume","volume":"60","author":"Seifert, H.","year":"1932","unstructured":"[9] Seifert, H. Topologie dreidimensionaler gefaserter R\u00e4ume, Acta Math., Volume 60 (1932), pp. 147-238","journal-title":"Acta Math."},{"key":"key2025102009594365772_10","doi-asserted-by":"crossref","first-page":"308","DOI":"10.1007\/BF01402956","article-title":"Eine Klasse von 3-dimensonalen Mannigfaltigkeiten I","volume":"3","author":"Waldhausen, F.","year":"1967","unstructured":"[10] Waldhausen, F. Eine Klasse von 3-dimensonalen Mannigfaltigkeiten I, Invent. Math., Volume 3 (1967), pp. 308-333 II, 4 (1967) 87\u2013117","journal-title":"Invent. Math."},{"key":"key2025102009594365772_11","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1112\/plms\/s3-68.1.203","article-title":"Covering invariants and cohopficity of 3-manifold groups","volume":"68","author":"Wang, S.","year":"1994","unstructured":"[11] Wang, S.; Wu, Y.-Q. Covering invariants and cohopficity of 3-manifold groups, Proc. London Math. Soc., Volume 68 (1994), pp. 203-224","journal-title":"Proc. London Math. Soc."},{"key":"key2025102009594365772_12","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1007\/s000140050087","article-title":"Covering degrees are determined by graph manifolds involved","volume":"74","author":"Yu, F.","year":"1999","unstructured":"[12] Yu, F.; Wang, S. Covering degrees are determined by graph manifolds involved, Comment. Math. Helv., Volume 74 (1999), pp. 238-247","journal-title":"Comment. Math. Helv."}],"container-title":["Comptes Rendus. 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