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manuscripta mathematica

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

3-Manifolds which are unions of three solid tori

  • JosÉ Carlos Gómez Larrañaga
Article

Abstract

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

Keywords

Number Theory Algebraic Geometry Topological Group Complete Classification Solid Torus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    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
  2. [2]
    HEMPEL, J.: 3-manifolds. Ann. of Math. Studies 86: Princeton University Press 1976.Google Scholar
  3. [3]
    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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