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 ...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-展开更多
文摘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-
