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A new proof of the Reidemeister-Singer theorem on stable equivalence of Heegaard splittings. (English) Zbl 0394.57014

MSC:
57N10 Topology of general \(3\)-manifolds (MSC2010)
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[1] D. R. J. Chillingworth, Collapsing three-dimensional convex polyhedra, Proc. Cambridge Philos. Soc. 63 (1967), 353 – 357. · Zbl 0152.22601
[2] R. Craggs, Relating representations for \( 3\)-and \( 4\)-manifolds (mimeographed manuscript). · Zbl 1257.57003
[3] K. Reidemeister, Zur dreidimensionalen Topologie, Abh. Math. Sem. Univ. Hamburg 9 (1933), 189-194. · JFM 59.1240.01
[4] James Singer, Three-dimensional manifolds and their Heegaard diagrams, Trans. Amer. Math. Soc. 35 (1933), no. 1, 88 – 111. · Zbl 0006.18501
[5] Friedhelm Waldhausen, Heegaard-Zerlegungen der 3-Sphäre, Topology 7 (1968), 195 – 203 (German). · Zbl 0157.54501
[6] E. C. Zeeman, Seminar on combinatorial topology, Publ. Hautes Études Sci., Paris, 1963 (mimeographed notes). · Zbl 0179.52402
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