On the homological category of 3-manifolds.

José Carlos Gómez Larrañaga; Francisco Javier González Acuña

Revista Matemática de la Universidad Complutense de Madrid (1991)

  • Volume: 4, Issue: 2-3, page 213-217
  • ISSN: 1139-1138

Abstract

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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)).

How to cite

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Gómez Larrañaga, José Carlos, and González Acuña, Francisco Javier. "On the homological category of 3-manifolds.." Revista Matemática de la Universidad Complutense de Madrid 4.2-3 (1991): 213-217. <http://eudml.org/doc/44284>.

@article{GómezLarrañaga1991,
abstract = {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)).},
author = {Gómez Larrañaga, José Carlos, González Acuña, Francisco Javier},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {3-Variedades; Variedades de homología},
language = {eng},
number = {2-3},
pages = {213-217},
title = {On the homological category of 3-manifolds.},
url = {http://eudml.org/doc/44284},
volume = {4},
year = {1991},
}

TY - JOUR
AU - Gómez Larrañaga, José Carlos
AU - González Acuña, Francisco Javier
TI - On the homological category of 3-manifolds.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1991
VL - 4
IS - 2-3
SP - 213
EP - 217
AB - 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)).
LA - eng
KW - 3-Variedades; Variedades de homología
UR - http://eudml.org/doc/44284
ER -

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