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Canonical reducing curves of surface homeomorphism

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Abstract

In this paper we will introduce the concept of canonical reducing set of a surface homeomorphism, and prove that it is unique up to an isotopy. As an application, we will give a simple proof of Thurston's theorem on classifying mappings on non-orientable surface, using the techniques of quasiconformal mappings and some known results in the orientable case, especially the Thurston theorem on orientable surfaces.

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Authors and Affiliations

  1. Department of Mathematics, Peking University, Beijing, China

    Wu Yingqing

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  1. Wu Yingqing
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Yingqing, W. Canonical reducing curves of surface homeomorphism. Acta Mathematica Sinica 3, 305–313 (1987). https://doi.org/10.1007/BF02559911

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  • DOI: https://doi.org/10.1007/BF02559911

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