| 基亚紧空间(英文) |
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| 引用本文： | 牟磊,王荣欣,王尚志.基亚紧空间(英文)[J].数学进展,2011(2). |
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| 作者姓名： | 牟磊 王荣欣 王尚志 |
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| 作者单位： | 首都师范大学数学科学学院; |
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| 基金项目： | Partially supported by Beijing Municipal Bureau of Personnel of China(No.005400703); Institute of Mathematics and Interdisciplinary Science,Capital Normal University. |
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| 摘 要： | 介绍了基亚紧拓扑空间的概念,这类空间是完全亚紧空间类及基仿紧空间类的推广.本文主要研究基亚紧空间的性质,证明了如下结果:(1)每一个可展的亚紧空间是基亚紧空间;(2)基亚紧性在开闭且有限到一的连续映射下保持;(3)若X是两个序数的积空间的子空间,则X是亚紧的当且仅当X是完全亚紧的.
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| 关 键 词： | 基亚紧 完全亚紧 序数 |
Base-metacompact Spaces |
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| MOU Lei,WANG Rongxin,WANG Shangzhi.Base-metacompact Spaces[J].Advances in Mathematics,2011(2). |
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| Authors: | MOU Lei WANG Rongxin WANG Shangzhi |
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| Institution: | MOU Lei~*,WANG Rongxin,WANG Shangzhi (Mathematics Department,Capital Normal University,Beijing,100048,P.R.China) |
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| Abstract: | We introduce the notion of base-metacompactness,which is a generalization of total metacompactness and base-paracompactness.We mainly study base-metacompactness of topological spaces.We prove the following:(1) Each developable metacompact space is basemetacompact .(2) Base-metacompactness is preserved under continuous open-closed finite-toone map.(3) Let X bea subspace of products of two ordinals.Then X is metacompact if and only if X is totally metacompact. |
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| Keywords: | base-metacompact totally metacompact ordinal |
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