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| 关于函数空间上三个特殊拓扑满足第一可数公理的条件 | |
| 引用本文： | 郭喜凤,胡晶. 关于函数空间上三个特殊拓扑满足第一可数公理的条件[J]. 数学的实践与认识, 2002, 32(1): 150-152 |
| 作者姓名： | 郭喜凤 胡晶 |
| 作者单位： | 1. 张家口农业高等专科学校,张家口,075028 2. 河北广播电视大学,石家庄,050071 |
| 摘 要： | 本文给出了函数空间上的一致收敛拓扑、紧收敛拓扑及 Cauchy收敛拓扑满足第一可数公理的条件 . |
| 关 键 词： | 函数空间 一致收敛拓扑 紧收敛拓扑 Cauchy收敛拓扑 第一可数公理 |
| 修稿时间： | 2001-09-18 |
On the Condition of Satisfying the First Countable [JZ]Principle for the Three Special Topologies [JZ]on the Function Space |
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| GUO Xi-feng ,HU Jing. On the Condition of Satisfying the First Countable [JZ]Principle for the Three Special Topologies [JZ]on the Function Space[J]. Mathematics in Practice and Theory, 2002, 32(1): 150-152 | |
| Authors: | GUO Xi-feng HU Jing |
| Affiliation: | GUO Xi-feng 1,HU Jing 2 |
| Abstract: | This paper gives the condition of satisfying the first countable principle for the three special topologies on the function space Y X, for special topologies of uniform convergence, compact convergence and Cauchy convergence. |
| Keywords: | function space topology of uniform convergence topology of compact convergence topology of Cauchy convergence the first countable principle |
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