Abstract
We give a complete classification of all closed, connected 3-manifolds which are union of three solid tori.
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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).
HEMPEL, J.: 3-manifolds. Ann. of Math. Studies 86: Princeton University Press 1976.
MILNOR, J.: A unique factorization theorem for 3-manifolds. Amer. J. Math.84, 1–7 (1962).
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I would like to thank Professors F. J. González-Acuña and L. Montejano for proposing to me the problem, J. Luecke for giving me the key idea for lemma 3 and M. Eudave for stimulating conversations.
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Gómez Larrañaga, J.C. 3-Manifolds which are unions of three solid tori. Manuscripta Math 59, 325–330 (1987). https://doi.org/10.1007/BF01174797
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DOI: https://doi.org/10.1007/BF01174797