| 拓扑半共轭关系是个预序但不是偏序 |
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| 引用本文： | 麦结华,刘翠君.拓扑半共轭关系是个预序但不是偏序[J].数学进展,2003,32(3):356-358. |
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| 作者姓名： | 麦结华 刘翠君 |
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| 作者单位： | 1. 汕头大学数学所,汕头,广东,515063,中国
2. 汕头大学数学所,汕头,广东,515063,中国;中山大学科学计算与计算机应用系,广州,广东,510275,中国 |
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| 基金项目： | This research work was supported by 973 project(No.G1999075108) |
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| 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。
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| 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 |
The Topological Semi-conjugacy Relation is a Preordering but not a Partial Ordering |
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| MAI Jie-hua,LIU Cui-jun.The Topological Semi-conjugacy Relation is a Preordering but not a Partial Ordering[J].Advances in Mathematics,2003,32(3):356-358. |
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| Authors: | MAI Jie-hua LIU Cui-jun |
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| Abstract: | 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. |
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| Keywords: | topological semi-conjugacy topological conjugacy preordering partial ordering |
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