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Transactions of the American Mathematical Society

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Heegaard splittings of homology $ 3$-spheres


Author: Dean A. Neumann
Journal: Trans. Amer. Math. Soc. 180 (1973), 485-495
MSC: Primary 57A10
DOI: https://doi.org/10.1090/S0002-9947-1973-0339185-2
MathSciNet review: 0339185
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Abstract: We investigate properties of Heegaard splittings of closed $ 3$-manifolds which are known for simply-connected manifolds and which might provide the basis for a general test for simple-connectivity. Our results are negative: each property considered is shown to hold in a wider class of manifolds.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1973-0339185-2
Keywords: $ 3$-manifolds, Heegaard splitting
Article copyright: © Copyright 1973 American Mathematical Society

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