Matveev, S. V. 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”. Reviewer: B.Zimmermann (Trieste) Cited in 2 ReviewsCited in 10 Documents MSC: 57M40 Characterizations of the Euclidean \(3\)-space and the \(3\)-sphere (MSC2010) Keywords:recognition of the 3-sphere; handle decompositions Citations:Zbl 0849.57009 PDFBibTeX XMLCite \textit{S. V. Matveev}, Sb. Math. 186, No. 5, 695--710 (1995; Zbl 0849.57010); translation from Mat. Sb. 186, No. 5, 69--84 (1995) Full Text: DOI