Canonical reducing curves of surface homeomorphism |
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Authors: | Wu Yingqing |
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Affiliation: | 1. Department of Mathematics, Peking University, Beijing, China
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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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