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关于非游荡点性质的一点注记
引用本文:张凤,李志从,牛春兰.关于非游荡点性质的一点注记[J].东北师大学报(自然科学版),2006,38(1):18-21.
作者姓名:张凤  李志从  牛春兰
作者单位:北京航空航天大学理学院,北京,100083;河北师范大学数学与信息科学学院,河北,石家庄,050016;河北师范大学数学与信息科学学院,河北,石家庄,050016;华北电力大学科技学院,河北,保定,071000
摘    要:对连续流及其时间1映射的非游荡点的关系进行了研究.在指出有关定理证明的不当之处后,给出了连续流及其时间1映射的非游荡集相等的一个充分条件;同时对紧致二维流形证明了其上的连续流与其时间1映射的非游荡集是相等的.

关 键 词:连续流  时间1同胚  非游荡点  紧致二维流形
文章编号:1000-1832(2006)01-0018-04
收稿时间:2005-06-20
修稿时间:2005年6月20日

A note on the property of non-wandering points
ZHANG Feng,LI Zhi-cong,NIU Chun-lan.A note on the property of non-wandering points[J].Journal of Northeast Normal University (Natural Science Edition),2006,38(1):18-21.
Authors:ZHANG Feng  LI Zhi-cong  NIU Chun-lan
Institution:1. School of Science, Beijing University of Aeronautics and Astronautics,Beijing 100083, China; 2. Institute of Mathematics and Information Science,Hebei Normal University,Shijiazhuang 050016 , China; 3. Science and Technology College,North China Electric Power University,Baoding 071000,China
Abstract:The relationship of non-wandering points for a continuous flow and its time-one map is studied.A sufficent condition is given indicating that non-wandering sets are equal for a continuous flow and its time-one map,after a mistake in a paper is pointed out it is showed that non-wandering sets for them are equal on compact two-dimensional manifold.
Keywords:continuous flow  time-one homeomorphism  non-wandering points  compact two-dimensional manifold
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