拓扑半共轭关系是个预序但不是偏序(英文)  

The Topological Semi-conjugacy Relation is a Preordering but not a Partial Ordering

作　　者：麦结华[1] 刘翠君[1] 

机构地区：[1]汕头大学数学所,汕头广东中国515063

出　　处：《数学进展》2003年第3期356-358,共3页Advances in Mathematics（China）

基　　金：This research work was supported by 973 project(No.G1999075108)

摘　　要：本短文指出,存在着紧致连通空间Y及同胚f:Y→Y,g:Y→Y使得f拓扑半共轭于g,g也拓扑半共轭于f,但f与g不拓扑共轭。据此说明了拓扑半共轭关系是个预序但不是偏序。In this note we indicate that there exist a compact connected space Y and two homeomorphisms / : Y - Y and g : Y - Y such that / is topologically semi-conjugate to g, and g is also topologically semi-conjugate to /, but / and g are not topologically conjugate. Thus, the relation of topological semi-conjugacy is a preordering but not a partial ordering.

关 键 词：拓扑半共轭 预序 偏序 紧致连通空间 拓扑空间 满射 连续映射 

分 类 号：O189.11[理学—数学]