科研之友
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摘要
Some results are obtained on finite unions of D-spaces. It is proved that if a space is the union of finitely many locally compact D-subspaces, then it is D-space. It follows that a space is D-space if it is the union of finitely many locally compact submetacompact subspaces. And a space is D-space if it is the union of D-subspace with a locally compact D-subspace. This partially answers one problem raised by Arhangel'skii. At last, some examples are given to exhibit the applications of nearly good relation to discover D-classes.
- 出版日期2013
- 单位山东大学; 山东财经大学
