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- W2187286492 abstract "AbstractIn this chapter we illustrate the results and report the figures from the paper [3]. More specifically, we shall prove that there exists a finite set of simple, or elementary, moves (also called rules) on labelled apparent contours, such that the following property holds: the images (Sigma _{1}) and (Sigma _{2}) of two stable embeddings of a closed smooth (not necessarily connected) surface M in (mathbb{R}^{3}) are isotopic if and only if their apparent contours can be connected using finitely many isotopies of (mathbb{R}^{2}), and a finite sequence of elementary moves or of their inverses (sometimes called “reverses”).KeywordsTriple PointClosed ManifoldCompleteness TheoremElementary MoveReidemeister MoveThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W2187286492 date "2015-01-01" @default.
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- W2187286492 title "Completeness of Reidemeister-Type Moves on Labelled Apparent Contours" @default.
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- W2187286492 doi "https://doi.org/10.1007/978-3-662-45191-5_6" @default.
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