On spaces which are linearly D |
| |
| Authors: | Hongfeng Guo Heikki Junnila |
| |
| Institution: | aSchool of Statistics and Mathematics, Shandong University of Finance, Jinan, PR China;bSchool of Mathematics, Shandong University, Jinan, PR China;cDepartment of Mathematics and Statistics, University of Helsinki, Helsinki, Finland |
| |
| Abstract: | We introduce a generalization of D-spaces, which we call linearly D-spaces. The following results are obtained for a T1-space X.- – X is linearly Lindelöf if, and only if, X is a linearly D-space of countable extent.
- – X is linearly D provided that X is submetaLindelöf.
- – X is linearly D provided that X is the union of finitely many linearly D-subspaces.
- – X is compact provided that X is countably compact and X is the union of countably many linearly D-subspaces.
Keywords: D-space; SubmetaLindelöf; Linearly Lindelöf; Countably compact |
| |
| Keywords: | D-space SubmetaLindelö f Linearly Lindelö f Countably compact |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
