Configurations of few lines in 3-space. Isotopy,chirality and planar layouts |
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Authors: | R Penne |
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Institution: | (1) Department of Mathematics, University of Antwerp (UIA), Antwerp, Belgium |
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Abstract: | We give a characterization of the planar layouts of configurations with at most five lines. From this we obtain a new proof of Viro's theorem that the isotopy type of such configurations is completely determined by chirality. We extend this result to labelled configurations. We also give an infinite family of non-realizable line diagrams, called alternatingC-angles , not containing non-realizable subdiagrams. |
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Keywords: | Realizability of line diagrams Isotopy of lines Chirality |
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