Classification of closed locally minimal networks on flat Klein bottles (Q1358174)

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scientific article; zbMATH DE number 1027889
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English
Classification of closed locally minimal networks on flat Klein bottles
scientific article; zbMATH DE number 1027889

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    Classification of closed locally minimal networks on flat Klein bottles (English)
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    13 July 1997
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    The author gives a classification of closed locally minimal networks on flat Klein bottles. Correspondence between types of the networks and Klein bottles is described. Double-sheeted coverings of Klein bottles by tori are used to reduce the problem to investigation of networks on a torus, considered by \textit{A. O. Ivanov, I. V. Ptitsyna} and \textit{A. A. Tuzhilin} [Russ. Acad. Sci., Sb., Math. 77, No. 2, 391-425 (1994); translation from Mat. Sb. 183, No. 12, 3-44 (1992; Zbl 0818.90125)].
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    Klein bottle
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    network
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