不知道是否每个Lindelof空间都是D-空间,因此很有必要考虑什么样的Lindelof空间是D-空间的问题.1-似空间的可数积是Lindelof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Lindelof散布空间的可数积是D-空间.%Is every Lindelof space a D-space? It is a question to study. The countable product of 1-like 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 1-like 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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