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- W2039719992 abstract "We prove a finiteness result for the $partial$-patterned guts decomposition of all $3$-manifolds obtained by splitting a given orientable, irreducible and $partial$-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 $S^3$." @default.
- W2039719992 created "2016-06-24" @default.
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- W2039719992 date "2014-01-01" @default.
- W2039719992 modified "2023-10-16" @default.
- W2039719992 title "Finiteness of 3-manifolds associated with non-zero degree mappings" @default.
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- W2039719992 doi "https://doi.org/10.4171/cmh/312" @default.
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