| 可膨胀空间类的逆极限与Tychonoff积 |
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| 引用本文： | 朱培勇,蒋继光.可膨胀空间类的逆极限与Tychonoff积[J].数学年刊A辑(中文版),2004(5). |
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| 作者姓名： | 朱培勇 蒋继光 |
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| 作者单位： | 电子科技大学应用数学学院，四川大学应用数学学院 成都 610054，西南民族大学计算机科学与技术学院，成都 610041，成都 610064 |
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| 基金项目： | 四川省教育厅自然科学基金(99LA48)资助的项目. |
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| 摘 要： | 设P表示可膨胀、σ-可膨胀、离散可膨胀、σ-离散可膨胀这四种性质之一.本文主要证明:(1)设X=lim{Xα,παβ,∧}并且每个投射πα是开满映射,如果X是|∧|-仿紧(遗传|∧|-仿紧)的,并且每个Xα都具有性质P(遗传性质P),则X具有性质P(遗传性质P);(2)如果X=multiply from σ∈∑ Xσ是|∑|-仿紧(遗传|∑|-仿紧)空间,则具有性质P(遗传性质p)当且仅当(?)F∈∑]<ω,multiply from σ∈∑ Xσ具有性质P(遗传性质P).
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| 关 键 词： | 可膨胀 σ-可膨胀 离散可膨胀 σ-离散可膨胀 |∑|-仿紧 遗传 性质P |
ON INVERSE LIMITS AND TYCHONOFF PRODUCTS OF EXPANDABLE CLASS |
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| ZHU Peiyong JIANG Jiguang
School of Applied Mathematics,University of Electronic Science and Technology of China,Chengdu ,China, School of Computer,Southwest University for Nationalisties,Chengdu ,China. School of Mathematics,Sichuan University,Chengdu ,China..ON INVERSE LIMITS AND TYCHONOFF PRODUCTS OF EXPANDABLE CLASS[J].Chinese Annals of Mathematics,2004(5). |
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| Authors: | ZHU Peiyong JIANG Jiguang
School of Applied Mathematics University of Electronic Science and Technology of China Chengdu China School of Computer Southwest University for Nationalisties Chengdu China School of Mathematics Sichuan University Chengdu China |
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| Institution: | ZHU Peiyong JIANG Jiguang
School of Applied Mathematics,University of Electronic Science and Technology of China,Chengdu 610054,China, School of Computer,Southwest University for Nationalisties,Chengdu 610041,China. School of Mathematics,Sichuan University,Chengdu 610064,China. |
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