Classification of closed locally minimal networks on flat Klein bottles (Q1358174)
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scientific article; zbMATH DE number 1027889
| Language | Label | Description | Also known as |
|---|---|---|---|
| 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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