论文标题
注意有关表面有限顺序同态同态的定向分类的注意
Note on the classification of the orientation reversing homeomorphisms of finite order of surfaces
论文作者
论文摘要
本说明的目的是稳定有限周期方向的拓扑分类，以逆转封闭式表面的自动塑料，当周期为2q时，Q均匀。 Kazuo Yokoyama在紧凑型表面上的周期性地图完全分类，Tokyo J. Math，对定期表面的自动塑料的定期定向分类。 15（1992），没有。 2，247--279，以及作者在分类中逆转了表面，拓扑及其应用的有限顺序的同态形态的分类62（1995）145--162（本文的参考文献[1]）采用了不同的方法。在[1]中，此注释中考虑了一些错误：方向逆转4个时期多个时期的同源物。在[1]中解决此问题的方法很有用，在第3节中，我们获得了逆转自杀的案例的分类，其周期为4个，遵循[1]的思想。 [1]中的结果已用于参考[2]和[3]。最后一节包括第3节之后对这些文章的更正。
The aim of this note is to stablish the topological classification of finite period orientation reversing autohomeomorphims of a closed oriented surface when the period is 2q, with q even. The classification of periodic orientation reversing autohomeomorphims of a closed oriented surface has been made by Kazuo Yokoyama in Complete classification of periodic maps on compact surfaces, Tokyo J. Math. 15 (1992), no. 2, 247--279, and by the author in Classification of the orientation reversing homeomorphisms of finite order of surfaces, Topology and its applications 62 (1995) 145--162 (reference [1] of this paper) following different approaches. In [1] there are some errors for the case considered in this note: orientation reversing homeomorphims of period multiple of 4. The errors have been pointed out by Weibiao Wang of the School of Mathematical Sciences of Peking University and Chao Wang of the School of Mathematical Sciences of East China Normal University in Shanghai. The approach to this problem in [1] is useful and in Section 3 we obtain the classification for the case when the orientation reversing homemorphism has period multiple of 4 following the ideas of [1]. The results in [1] has been used in references [2] and [3]. The last Section include the corrections to these articles following Section 3.
