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| 逆极限空间上渐近伪轨跟踪性质 | |
| 引用本文： | 顾荣宝,盛业青. 逆极限空间上渐近伪轨跟踪性质[J]. 高校应用数学学报(英文版), 2006, 21(4): 473-478. DOI: 10.1007/s11766-006-0012-5 |
| 作者姓名： | 顾荣宝 盛业青 |
| 作者单位： | 南京财经大学 |
| 基金项目： | 国家自然科学基金 , 江苏省教育厅自然科学基金 , Young Teachers' Project of College of Anhui Province |
| 摘 要： | The connection between APOTP （asymptotic pseudo orbit tracing property） for a continuous map on a compact metric space and that for the shift map on the inverse limit space is investigated. As an application, it is showed that the shift map on Henderson pseudoarc has APOTP. |
| 关 键 词： | APOTP 倒转极限空间 转换图 度量空间 数学分析 |
| 收稿时间： | 2004-04-27 |
APOTP for the inverse limit spaces |
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| Rongbao Gu,Yeqing Sheng. APOTP for the inverse limit spaces[J]. Applied Mathematics A Journal of Chinese Universities, 2006, 21(4): 473-478. DOI: 10.1007/s11766-006-0012-5 | |
| Authors: | Rongbao Gu Yeqing Sheng |
| Affiliation: | 1. School of Finance, Nanjing University of Finance and Economics, Nanjing, 210046, China 2. Department of Mathematics and Physics, Wuyi University, Jiangmen, 529020, China 3. Department of Mathematics and Physics, Anhui Institute of Architecture and Industry, Hefei, 230022, China |
| Abstract: | The connection between APOTP (asymptotic pseudo orbit tracing property)for a continuous map on a compact metric space and that for the shift map on the inverse limit space is investigated. As an application, it is showed that the shift map on Henderson pseudoarc has APOTP. |
| Keywords: | APOTP inverse limit space shift map pseudoarc |
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