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3-Manifolds which are unions of three solid tori.

José Carlos Gómez Larranaga — 1987

Manuscripta mathematica

On the homological category of 3-manifolds.

José Carlos Gómez Larrañaga; Francisco Javier González Acuña — 1991

Revista Matemática de la Universidad Complutense de Madrid

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)).

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