| 华沙圈上连续映射的distality与等度连续性 |
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| 引用本文： | 牛应轩.华沙圈上连续映射的distality与等度连续性[J].大学数学,2010,26(5). |
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| 作者姓名： | 牛应轩 |
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| 基金项目： | 安徽省教育厅灰科学研究项目 |
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| 摘 要： | 设W为华沙圈,f:W→W为连续映射.本文得到了f为distal的一个刻画并且讨论了f的distality与等度连续性的关系.证明了:(i)f是distal的当且仅当f为恒等映射.(ii)如果f为满射,则f是distal的当且仅当f为等度连续的.
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| 关 键 词： | 华沙圈 不动点集 distal 等度连续 |
Distality and Equicontinuity of Continuous Maps on the Warsaw Circle |
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| NIU Ying-xuan.Distality and Equicontinuity of Continuous Maps on the Warsaw Circle[J].College Mathematics,2010,26(5). |
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| Authors: | NIU Ying-xuan |
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| Abstract: | Let W be the Warsaw circle,f:W→W be a continuous map.We discus the distality and quicontinuity of continuous selfmaps on the Warsaw circle and prove that(i) fis distal if and only if fis the identity map.(ii) if fis a surjective map,then fis distal if and only if fis equicontinuous. |
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| Keywords: | Warsaw circle fixed point set distal equicontinuous |
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