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Topological classification of supertransitive flows on closed nonorientable surfaces. Part I. Necessary conditions for topological equivalence

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Abstract

In this paper a topological invariant is introduced for the class of supertransitive flows on closed nonorientable surfacesM of negative Euler characteristic. We describe properties of this invariant and prove that it provides necessary conditions for the topological equivalence of flows belonging to the above-mentioned class of supertransitive flows.

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Authors and Affiliations

  1. Nizhnii Novgorod State Technical University, Nizhnii Novgorod, USSR

    I. A. Tel’nykh

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  1. I. A. Tel’nykh
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Translated fromMatematicheskie Zametki, Vol. 68, No. 3, pp. 461–470, September, 2000.

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Tel’nykh, I.A. Topological classification of supertransitive flows on closed nonorientable surfaces. Part I. Necessary conditions for topological equivalence. Math Notes 68, 397–404 (2000). https://doi.org/10.1007/BF02674565

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