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| 摘要: |
| 本文研究了p-仿紧空间和p-可数仿紧空间的相关问题.利用预开集和覆盖性质理论,得到了p-仿紧空间和p-可数仿紧空间的定义、等价刻画及αp-仿紧子集的性质,推广了一般拓扑学中仿紧空间的部分结果. |
| 关键词: 预开集 p-仿紧空间 p-可数仿紧空间 |
| DOI： |
| 分类号:O189.1 |
| 基金项目:内蒙古自然科学项目基金资助(2010MSO118);内蒙古自治区研究生教育创新计划项目基金资助(S201310135010). |
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| ON p-PARACOMPACT SPACES |
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TONG Xin,SIQIN Meng-ke
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| Abstract: |
| The problems of p-paracompact spaces and p-countably paracompact spaces are studied in this paper. By using pre-open sets and covering property theory, we obtain the definitions and the equivalence conditions of p-paracompact spaces and p-countably paracompact spaces and some properties of αp-paracompact sets, which extend partial results of paracompact spaces in general topological spaces. |
| Key words: pre-open set p-paracompact spaces p-countably paracompact spaces |
