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The homeomorphism problem for S\(^3\). (English) Zbl 0272.57001


MSC:

57M40 Characterizations of the Euclidean \(3\)-space and the \(3\)-sphere (MSC2010)
57M25 Knots and links in the \(3\)-sphere (MSC2010)
57N10 Topology of general \(3\)-manifolds (MSC2010)
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References:

[1] E. Artin, Theorie der Zöpfe, Abh. Math. Sem. Univ. Hamburg 4 (1926), 47-72. · JFM 51.0450.01
[2] Wolfgang Haken, Theorie der Normalflächen, Acta Math. 105 (1961), 245 – 375 (German). , https://doi.org/10.1007/BF02559591 Horst Schubert, Bestimmung der Primfaktorzerlegung von Verkettungen, Math. Z. 76 (1961), 116 – 148 (German). , https://doi.org/10.1007/BF01210965 Wolfgang Haken, Ein Verfahren zur Aufspaltung einer 3-Mannigfaltigkeit in irreduzible 3-Mannigfaltigkeiten, Math. Z. 76 (1961), 427 – 467 (German). · Zbl 0111.18803
[3] W. B. R. Lickorish, A representation of orientable combinatorial 3-manifolds, Ann. of Math. (2) 76 (1962), 531 – 540. · Zbl 0106.37102
[4] W. B. R. Lickorish, A finite set of generators for the homeotopy group of a 2-manifold, Proc. Cambridge Philos. Soc. 60 (1964), 769 – 778. · Zbl 0131.20801
[5] Wolfgang Haken, Theorie der Normalflächen, Acta Math. 105 (1961), 245 – 375 (German). , https://doi.org/10.1007/BF02559591 Horst Schubert, Bestimmung der Primfaktorzerlegung von Verkettungen, Math. Z. 76 (1961), 116 – 148 (German). , https://doi.org/10.1007/BF01210965 Wolfgang Haken, Ein Verfahren zur Aufspaltung einer 3-Mannigfaltigkeit in irreduzible 3-Mannigfaltigkeiten, Math. Z. 76 (1961), 427 – 467 (German). · Zbl 0111.18803
[6] Horst Schubert, Knoten mit zwei Brücken, Math. Z. 65 (1956), 133 – 170 (German). · Zbl 0071.39002
[7] Friedhelm Waldhausen, Über Involutionen der 3-Sphäre, Topology 8 (1969), 81 – 91 (German). · Zbl 0185.27603
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