Generalized Hopfian property, minimal Haken manifold, and J. Simon's conjecture for 3-manifold groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58606We address a conjecture that $π_1$-surjective maps between closed aspherical 3-manifolds having the same rank on $π_1$ must be of non-zero degree. The conjecture is proved for Seifert manifolds, which is used in constructing the first known example of minimum Haken manifold. Another motivation is to study epimorphisms of 3-manifold groups via maps of non-zero degree between 3-manifolds.15 pagesGeometric Topology57MGeneralized Hopfian property, minimal Haken manifold, and J. Simon's conjecture for 3-manifold groupstext