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《Journal of Anqing Normal University(Natural Science Edition)》 2018-02
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S-countably Paracompact Spaces

SUN Wen;HE Zhaorong;No.3 High School in Panzhihua;College of Science, Shantou University;  
Combining the conceptions and the properties of S-paracompact spaces with countably paracompact spaces,the new topological conception S-countably paracompact spaces are introduced. Based on the characteristics and properties of generalized paracompact spaces and semi-open sets in topology, some equivalent characteristics, semi-normality, mapping properties and finite product of S-countably paracompact spaces are instigated, and several main results are obtain. Such as the inverse of a S-countably paracompact space under a quasi-perfect mapping is also S-countably paracompact, the product of a S-countably paracompact space and a compact space is S-countably paracompact, the product of a semi-normal S-countably paracompact space and a compact metric space is semi-normal.
【Fund】: 安徽省高等学校省级优秀青年人才基金项目(2010SQRL158)
【CateGory Index】: O189.11
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