Let M be a closed, connected, orientable 3-manifold. Denote by n(S1 x S2) the connected sum of n copies of S1 x S2. We prove that if the homological category of M is three then for some n ≥ 1, H*(M) is isomorphic (as a ring) to H*(n(S1 x S2)).
@article{urn:eudml:doc:44284, title = {On the homological category of 3-manifolds.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {4}, year = {1991}, pages = {213-217}, zbl = {0915.57006}, mrnumber = {MR1145695}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44284} }
Gómez Larrañaga, José Carlos; González Acuña, Francisco Javier. On the homological category of 3-manifolds.. Revista Matemática de la Universidad Complutense de Madrid, Tome 4 (1991) pp. 213-217. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44284/