TY - JOUR AU - Montesinos Amilibia, José María PY - 1989 SN - 1123-2536 UR - https://hdl.handle.net/20.500.14352/58611 T2 - Note di Matematica AB - Let M be a closed orientable 3-manifold. The rank of M, rk(M), is the minimum number of elements that can generate π1(M). Clearly rk(M)≤Hg(M), where Hg(M) is the Heegaard genus of M. F. Waldhausen conjectured that equality holds here, but then.... LA - spa M2 - 101 PB - Università del Salento KW - big genus KW - rank KW - Heegaard genus KW - closed orientable 3-manifold KW - generators and relations KW - presentation KW - Nielsen genus TI - Discrepancy between the rank and the Heegaard genus of a 3-manifold. (Spanish: La discrepancia entre el rango y el genero de Heegaard de una 3-variedad) TY - journal article VL - 9 ER -