| 度量空间线性序的连续性 |
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| 引用本文： | 尹宏,朱滔. 度量空间线性序的连续性[J]. 四川大学学报(自然科学版), 2002, 39(4): 602-607 |
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| 作者姓名： | 尹宏 朱滔 |
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| 作者单位： | 四川大学数学学院,成都,610064 |
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| 摘 要： | 讨论了度量空间上线性序的性质，给出了其构成连续domain的充要条件，回答了Keye Martin 于2000年提出的关于度量空间线性序的连续性问题。此外，还对该线性序进行了改进，所得结果表明度量空间在新序下具有更为良好的性质。
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| 关 键 词： | 度量空间 线性序 连续性 线性逼近 对偶waybelow 拓扑学 连续domain |
| 文章编号： | 0490-6756(2002)04-0602-06 |
The Continuity of Linear Order |
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| YIN Hong,ZHU Tao. The Continuity of Linear Order[J]. Journal of Sichuan University (Natural Science Edition), 2002, 39(4): 602-607 |
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| Authors: | YIN Hong ZHU Tao |
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| Abstract: | The authors discussed some properties of linear order on metric spaces, gave the sufficient and necessary conditions of the continuity of linear order and answered the questions about the continuity of linear order on metric spaces given by Keye Martin in 2000. Then, the authors made some improvements to the linear order and thus made the metric spaces have even better properties under the new order. |
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| Keywords: | linear order linear approximation dual waybelow |
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