1-似空间的可数积是D-空间
Countable Product of 1-like Spaces is a D-space
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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。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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