Countable Product of 1-like Spaces is a <i>D</i>-space

PENG Liang-xue. Countable Product of 1-like Spaces is a D-space[J]. Journal of Beijing University of Technology, 2003, 29(1): 79-82.

Citation:

PENG Liang-xue. Countable Product of 1-like Spaces is a D-space[J]. Journal of Beijing University of Technology, 2003, 29(1): 79-82.

Citation:

PENG Liang-xue. Countable Product of 1-like Spaces is a D-space[J]. Journal of Beijing University of Technology, 2003, 29(1): 79-82.

Countable Product of 1-like Spaces is a D-space

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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