| 拟仿紧性与乘积空间 |
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| 引用本文： | 蒋继光,张树果. 拟仿紧性与乘积空间[J]. 数学年刊A辑(中文版), 2005, 0(6) |
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| 作者姓名： | 蒋继光 张树果 |
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| 作者单位： | 四川大学数学学院，四川大学数学学院 成都 610064，成都 610064 |
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| 基金项目： | 国家自然科学基金(No．19931020)教育部优秀青年教师基金资助的项目 |
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| 摘 要： | 本文证明了在V=L假定下,所有正规局部紧拟仿紧空间是仿紧的．并证明了正则拟仿紧性在有限 对一闭映射下是逆保持的．还研究了狭义拟仿紧性的有限乘积和逆极限定理．
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| 关 键 词： | 仿紧 狭义拟仿紧 逆极限 有限对一映射 |
QUASI-PARACOMPACTNESS AND PRODUCT SPACES |
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| JIANG Jiguang ZHANG Shuguo College of Mathematics. Sichuan University,Chengdu ,China. College of Mathematics,Sichuan University,Chengdu ,China.. QUASI-PARACOMPACTNESS AND PRODUCT SPACES[J]. Chinese Annals of Mathematics, 2005, 0(6) |
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| Authors: | JIANG Jiguang ZHANG Shuguo College of Mathematics. Sichuan University Chengdu China. College of Mathematics Sichuan University Chengdu China. |
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| Affiliation: | JIANG Jiguang ZHANG Shuguo College of Mathematics. Sichuan University,Chengdu 610064,China. College of Mathematics,Sichuan University,Chengdu 610064,China. |
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| Abstract: | In this paper the authors show that, under V=L. all normal locally compact quasi-paracompact spaces are paracompact and prove that regular quasi-paracompactness is inversely preserved under finite-to-one closed mappings. Also the finite products and inverse limit theorems for the strictly quasi-paracompactness are studied. |
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| Keywords: | Paracompact Strictly quasi-paracompact Inverse limit Finite-to-one mapping |
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