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| 集值映射空间上的基数函数 | |
| 引用本文： | 李祖泉. 集值映射空间上的基数函数[J]. 纯粹数学与应用数学, 2010, 26(4): 529-533. DOI: 10.3969/j.issn.1008-5513.2010.04.001 |
| 作者姓名： | 李祖泉 |
| 作者单位： | 杭州师范大学理学院数学系,浙江,杭州,310036 |
| 基金项目： | 杭州师范大学科研启动经费 |
| 摘 要： | 讨论了集值映射空间在赋予点态收敛拓扑或紧开拓扑下的权数,特征,网络权,稠密度等基数函数,利用自然映射,诱导映射和嵌入等方法将单值连续映射空间的有关结论推广到集值映射空间类上. |
| 关 键 词： | 集值映射 点态收敛拓扑 紧开拓扑 权数 特征 网络权 稠密度 |
Cardinal functions on multifunction spaces |
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| LI Zu-quan. Cardinal functions on multifunction spaces[J]. Pure and Applied Mathematics, 2010, 26(4): 529-533. DOI: 10.3969/j.issn.1008-5513.2010.04.001 | |
| Authors: | LI Zu-quan |
| Affiliation: | LI Zu-quan(Department of Mathematics,Hangzhou Normal University,Hangzhou 310036,China) |
| Abstract: | In this paper,we discuss the weight,the character,the network weight and the density on multifunction spaces with point-wise convergence topology or compact-open topology.By the methods of natural mappings,induced mappings and embedding mappings,we generalized related conclusions from single-valued continuous function spaces to continuous multifunction spaces. |
| Keywords: | multifunction point-wise convergence topology compact-open topology weight character network weight density |
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