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| 集值映射与层型结构空间(英文) | |
| 引用本文： | 谢利红,燕鹏飞. 集值映射与层型结构空间(英文)[J]. 吉林师范大学学报(自然科学版), 2014, 0(3): 48-59 |
| 作者姓名： | 谢利红 燕鹏飞 |
| 作者单位： | 五邑大学数学与计算科学学院,广东江门529020 |
| 基金项目： | Supported by the Natural Science Foundation of China（ No. 10971125 ） ;the Project of Department of Education of Guangdong Province（ No. 2012KJCX0101 ） ;the Science Foumdation for Young Teachers of Wuyi University（ No. 2013zk03 ） |
| 摘 要： | 本论文利用半连续集值映射的插入给出具有层型结构空间的一些等价刻画.也引入了K-lower和K-upper集值映射,利用此概念给出了k-半层空间以及k-MCM的刻画. |
| 关 键 词： | K—upper(K—lower)集值映射 层型空间 半层空间 MCM MCP k—MCM(kβ) k-半层空间 |
Set-valued mappings and spaces having semi-stratifiable structure |
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| XIE LI-hong,YAN Peng-feI. Set-valued mappings and spaces having semi-stratifiable structure[J]. Jilin Normal University Journal(Natural Science Edition), 2014, 0(3): 48-59 | |
| Authors: | XIE LI-hong YAN Peng-feI |
| Affiliation: | ( School of Mathematics and Computational Science, Wuyi University, Jiangmen 529020, China) |
| Abstract: | In this paper,we give some characterizations of stratifiable and semistratifiable spaces by the insertion of semi-continuous set-valued mappings. Also,we introduce the K-lower and K-upper set-valued mappings and, using them,give some characterizations of k-semi-stratifiable spaces and k-MCM（kβ）spaces. |
| Keywords: | K-upper （K-lower） set-valued mappings stratifiable space semi-stratifiable space MCM MCP k-MCM（kβ） k-semi-stratifiable space 2010 MSC 54C05 54C08 54C30 54E20 47H04 |
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