Titlebook: Algorithmic Topology and Classification of 3-Manifolds; Sergei Matveev Textbook 2007Latest edition Springer-Verlag Berlin Heidelberg 2007

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https://doi.org/10.1007/978-3-662-39674-2The theory of normal surfaces is used extensively in algorithmic topology. Algorithms based on it most often follow the General Scheme described below. Suppose that we wish to solve a problem about a given 3-manifold ..

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Haken Theory of Normal Surfaces,Normal surfaces were introduced by Kneser in 1929 [66]. The theory of normal surfaces was further developed by W. Haken in the early 1960s [38]. Its fundamental importance to the algorithmic topology cannot be overestimated. Most of the work on 3-manifolds since then is based on or related to it.

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Applications of the Theory of Normal Surfaces,The theory of normal surfaces is used extensively in algorithmic topology. Algorithms based on it most often follow the General Scheme described below. Suppose that we wish to solve a problem about a given 3-manifold ..

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Sergei MatveevIncludes supplementary material: