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Heegard splittings and a theorem of Livesay. (English) Zbl 0314.57002


MSC:

57N10 Topology of general \(3\)-manifolds (MSC2010)
57M40 Characterizations of the Euclidean \(3\)-space and the \(3\)-sphere (MSC2010)
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References:

[1] G. R. Livesay, Involutions with two fixed points on the three-sphere, Ann. of Math. (2) 78 (1963), 582 – 593. · Zbl 0118.18801 · doi:10.2307/1970543
[2] C. D. Papakyriakopoulos, On solid tori, Proc. London Math. Soc. (3) 7 (1957), 281 – 299. · Zbl 0078.16305 · doi:10.1112/plms/s3-7.1.281
[3] C. D. Papakyriakopoulos, On Dehn’s lemma and the asphericity of knots, Ann. of Math. (2) 66 (1957), 1 – 26. · Zbl 0078.16402 · doi:10.2307/1970113
[4] Friedhelm Waldhausen, Heegaard-Zerlegungen der 3-Sphäre, Topology 7 (1968), 195 – 203 (German). · Zbl 0157.54501 · doi:10.1016/0040-9383(68)90027-X
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