Heegaard splittings of homology 3-spheres

Neumann, Dean A.

doi:10.1090/S0002-9947-1973-0339185-2

Heegaard splittings of homology $3$-spheres
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Trans. Amer. Math. Soc. 180 (1973), 485-495 Request permission

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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Lehrbuch der Topologie

Seminar on combinatorial topology