Full paper in PDF:
$% J. C. Gómez Larrañaga and F. J. González Acuña, On the Homological Category of 3-Manifolds, Rev. Mat. Univ. Complut. Madrid 4 (1991), no. 2, 3, 213217.%$

On the Homological Category of 3-Manifolds

José Carlos GÓMEZ LARRAÑAGA and Francisco Javier GONZÁLEZ ACUÑA
Instituto de Matemáticas
Universidad Nacional Autónoma de México
Ciudad Universitaria
04510 México, D.F. México

Received: September 3, 1990
 
ABSTRACT

Let M  be a closed, connected, orientable 3-manifold. Denote by    1   2
n(S × S )  the connected sum of n  copies of  1   2
S  ×S  . 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 ×S2))  .

1991 Mathematics Subject Classification: 57N10, 55M30.