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集值映射与层型结构空间(英文) 被引量:1

Set-valued mappings and spaces having semi-stratifiable structure
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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. 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.
出处 《吉林师范大学学报(自然科学版)》 2014年第3期48-59,共12页 Journal of Jilin Normal University:Natural Science Edition
基金 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)
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 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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