| 1-似空间的可数积是D-空间(英文) |
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| 引用本文： | 彭良雪.1-似空间的可数积是D-空间(英文)[J].北京工业大学学报,2003,29(1):79-82. |
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| 作者姓名： | 彭良雪 |
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| 作者单位： | 北京工业大学,应用数理学院,北京,100022 |
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| 摘 要： | 不知道是否每个Lindelf空间都是D-空间,因此很有必要考虑什么样的Lindelf空间是D-空间的问题.1-似空间的可数积是Lindelf空间,但不知道它是否是D-空间。为了研究笛卡尔积是D-空间的空间,证明了1-似空间的可数积是D-空间,作为此结论与其他结论的推论得到Lindelf散布空间的可数积是D-空间。
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| 关 键 词： | D-空间 1-似空间 散布空间 |
Countable Product of 1-like Spaces is a D-space |
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| Abstract.Countable Product of 1-like Spaces is a D-space[J].Journal of Beijing Polytechnic University,2003,29(1):79-82. |
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| Authors: | Abstract |
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| Abstract: | Is every Lindelof space a D-space? It is a question to study. The countable product of Hike spaces is a Lindelof space, but we do not know whether it is a D-space. The aim of this paper is to study the spaces whose products are D-spaces. The results show that the countable product of Hike spaces is a D-space. As its corollary, the countable product of regular Lindelof scattered spaces is also a D -spaces. |
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| Keywords: | D-space Hike space scattered space |
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