manuscripta mathematica

, Volume 59, Issue 3, pp 325–330 | Cite as

3-Manifolds which are unions of three solid tori

  • JosÉ Carlos Gómez Larrañaga


We give a complete classification of all closed, connected 3-manifolds which are union of three solid tori.


Number Theory Algebraic Geometry Topological Group Complete Classification Solid Torus 
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    HEIL, W.: 3-manifolds that are sums of solid tori and Seifert fiber spaces. Proc. Amer. Math. Soc.37(2), 609–614 (1973).Google Scholar
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    HEMPEL, J.: 3-manifolds. Ann. of Math. Studies 86: Princeton University Press 1976.Google Scholar
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    MILNOR, J.: A unique factorization theorem for 3-manifolds. Amer. J. Math.84, 1–7 (1962).Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • JosÉ Carlos Gómez Larrañaga
    • 1
  1. 1.Instituto de MatematicasUniversidad Nacional Autónoma de MéxicoMéxico, D.F.Mexico

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