| 关于可膨胀空间的逆极限及无限Tychonoff积 |
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| 引用本文： | 蔡奇嵘,苏淑华.关于可膨胀空间的逆极限及无限Tychonoff积[J].南昌大学学报(理科版),2009,33(6):1. |
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| 作者姓名： | 蔡奇嵘 苏淑华 |
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| 作者单位： | 东华理工大学数学与信息科学学院； |
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| 摘 要： | 对Bi可膨胀空间类进行研究,得到主要结论如下:(1)若X=lim←{Xα,πβα,Σ}并且每个πα是开满映射,如果X是|Σ|-仿紧的,并且每个Xα都是Bi(i=0,1)可膨胀的,则X是Bi(i=0)可膨胀的。(2)若X=∏σ∈ΣXσ是|Σ|-仿紧的,则X是Bi(i=0,1)可膨胀的当且仅当F∈Σ]<ω,X=∏σ∈ΣXσ都
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| 关 键 词： | Σ Bi可膨胀 逆极限 #NAME? |
Inverse Iimits and Infinite Tychonoff Produces About B_I-Expandable Spaces |
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| CAI Qi-rong,SU Shu-hua.Inverse Iimits and Infinite Tychonoff Produces About B_I-Expandable Spaces[J].Journal of Nanchang University(Natural Science),2009,33(6):1. |
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| Authors: | CAI Qi-rong SU Shu-hua |
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| Abstract: | It mainly studies B_i expandable spaces,the main results are the following:(1)Let X=∏_(σ∈Σ)X_σ|Σ|-paracompact and every π_α open and onto mapping,if X is |Σ|-paracompact,and if every X_α is B_i(i=0,1) expandable,then X is B_i(i=0,1) expandable.(2)If X=∏_(σ∈Σ)X_σ is |Σ|-paracompact,then X is B_i(i=0,1) expandable iff X=∏_(σ∈F)X_σ is B_i(i=0,1) expandable for every F∈Σ]~(<ω). |
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| Keywords: | B_i-expandability inverse limit |
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