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An algorithm for the recognition of 3-spheres (according to Thompson). (English. Russian original) Zbl 0849.57010

Sb. Math. 186, No. 5, 695-710 (1995); translation from Mat. Sb. 186, No. 5, 69-84 (1995).
The algorithm due to A. Thompson [Math. Res. Lett. 1, 613-630 (1994; Zbl 0849.57009), see the preceding review] for the recognition of the 3-sphere is considered. An alternative version and proof of the algorithm is given: “The use of handle decompositions instead of triangulations greatly simplifies both the formulation and the proof of the algorithm”.

MSC:

57M40 Characterizations of the Euclidean \(3\)-space and the \(3\)-sphere (MSC2010)

Citations:

Zbl 0849.57009
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