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math.GT2000
Generalized Hopfian property, minimal Haken manifold, and J. Simon's conjecture for 3-manifold groups
Alan W. Reid, Shicheng Wang, Qing Zhou
We address a conjecture that -surjective maps between closed aspherical 3-manifolds having the same rank on must be of non-zero degree. The conjecture is proved for Seif…
math.GT2000
On finiteness of the number of boundary slopes of immersed surfaces in 3-manifolds
Joel Hass, Shicheng Wang, Qing Zhou
For any hyperbolic 3-manifold with totally geodesic boundary, there are finitely many boundary slopes for essential immersed surfaces of a given genus. There is a uniform bound…
math.GT2000
Any 3-manifold 1-dominates at most finitely many geometric 3-manifolds
Shicheng Wang, Qing Zhou
In this paper, we proved that any closed orientable 3-manifold 1-dominates at most finitely many geometric 3-manifolds.