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	Finiteness of 3-manifolds associated with non-zero degree mappings
	Boileau, Michel ; Rubinstein, J. Hyam ; Wang, Shicheng
	2014
关键词	Degree one mappings 3-manifolds JSJ-decompositions Thurston norm Gromov volume patterned guts DEGREE-ONE MAPS GEOMETRIC 3-MANIFOLDS HAKEN 3-MANIFOLDS HYPERBOLIC 3-MANIFOLDS SEIFERT MANIFOLDS SIMONS CONJECTURE KNOT-GROUPS SEQUENCES VOLUME EPIMORPHISMS
英文摘要	We prove a finiteness result for the partial derivative-patterned guts decomposition of all 3-manifolds obtained by splitting a given orientable, irreducible and partial derivative-irreducible 3-manifold along a closed incompressible surface. Then using the Thurston norm, we deduce that the JSJ-pieces of all 3-manifolds dominated by a given compact 3-manifold belong, up to homeomorphism, to a finite collection of compact 3-manifolds. We show also that any closed orientable 3-manifold dominates only finitely many integral homology spheres and any compact orientable 3-manifold dominates only finitely many exteriors of knots in S-3.; Mathematics; SCI(E); 0; ARTICLE; boileau@math.univ-toulouse.fr; rubin@ms.unimelb.edu.au; wangsc@math.pku.edu.cn; 1; 33-68; 89
语种	英语
出处	SCI
出版者	commentarii mathematici helvetici
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/390301]
专题	数学科学学院
推荐引用方式 GB/T 7714	Boileau, Michel,Rubinstein, J. Hyam,Wang, Shicheng. Finiteness of 3-manifolds associated with non-zero degree mappings. 2014-01-01.

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