| GO-空间乘积的子空间的广义仿紧性 |
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| 引用本文： | 马利文,王尚志.GO-空间乘积的子空间的广义仿紧性[J].数学的实践与认识,2003,33(3):113-118. |
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| 作者姓名： | 马利文 王尚志 |
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| 作者单位： | 1. 北京邮电大学理学院,北京,100876
2. 首都师范大学数学系,北京,100037 |
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| 摘 要： | 20 0 0年 ,数学家 N .Kemoto,K.Tam ano和 Y.Yajima证明了两个特殊的 GO-空间——序数乘积子空间的亚紧性 ,screenability,弱 submetalindelof性是等价的 .本文把这个命题推广到了两个一般的 GO-空间乘积的任意子空间上 ,证明了它们仍然是等价的 .
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| 关 键 词： | GO-空间 亚紧性 screenability 弱subm etalindelof性 |
| 修稿时间： | 2002年3月22日 |
Generalized Paracompactness of Subspaces in Product of Two GO-spaces |
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| MA Li-wen,WANG Shang-zhi.Generalized Paracompactness of Subspaces in Product of Two GO-spaces[J].Mathematics in Practice and Theory,2003,33(3):113-118. |
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| Authors: | MA Li-wen WANG Shang-zhi |
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| Institution: | MA Li-wen1,WANG Shang-zhi2 |
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| Abstract: | In 2000, mathematicians N.Kemoto, K. Tamano and Y.Yajima proved that metacompactness, screenability and weak submetalindelofness are equivalent for all subspaces of product of two ordinals. Now we will generalize this result and prove that they are also equivalent for all subspaces of product of two GO-spaces. |
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| Keywords: | GO-space metacompactness screenability weak submetalindelofness |
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