ORIENTATION-REVERSING 2-PERIODIC SELF-HOMEOMORPHISMS OF ORIENTABLE CLOSED SURFACES  

作　　者：麦结华 

机构地区：[1]Department of Mathematics, Guangxi University, Nanning 530004, PRC

出　　处：《Chinese Science Bulletin》1992年第8期627-631,共5页

摘　　要：Kerékjártó[1, pp. 224—226] showed that every periodic self-homeomorphism of a disk is topologically conjugate to either a rotation or a reflection, which is restated by Brechner in Ref. [2]. According to this conclusion, every orientation-preserving periodic selfhomeomorphism of a disk must be topologically conjugate to some rotation with a turning range 2kπ/m radian (where m and k are relatively prime positive integers, m≥k), and every orientation-reversing periodic self-homeomorphism of a disk must be topologically con-

关 键 词：orientable closed surface orientation-reversing PERIODIC self-homeomorphism topological CONJUGATE quasi-reflection. 

分 类 号：N[自然科学总论]