Finite Unions of D-Spaces and Applications of Nearly Good Relation
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 a D-space. It follows that a space is a D-space if it is the union of finitely many locally compact submetacompact subspaces. And a space is a D-...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/808262 |
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| _version_ | 1832553525498871808 |
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| author | Xin Zhang Hongfeng Guo Yuming Xu |
| author_facet | Xin Zhang Hongfeng Guo Yuming Xu |
| author_sort | Xin Zhang |
| collection | DOAJ |
| description | 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 a D-space. It follows that a space is a D-space if it is the union of finitely many
locally compact submetacompact subspaces. And a space is a D-space if it is the
union of a 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. |
| format | Article |
| id | doaj-art-227492198f9e4d0b9b747e3c58013011 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-227492198f9e4d0b9b747e3c580130112025-02-03T05:53:48ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/808262808262Finite Unions of D-Spaces and Applications of Nearly Good RelationXin Zhang0Hongfeng Guo1Yuming Xu2School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan, Shandong 250014, ChinaSchool of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan, Shandong 250014, ChinaSchool of Mathematics, Shandong University, Jinan, Shandong 250100, ChinaSome 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 a D-space. It follows that a space is a D-space if it is the union of finitely many locally compact submetacompact subspaces. And a space is a D-space if it is the union of a 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.http://dx.doi.org/10.1155/2013/808262 |
| spellingShingle | Xin Zhang Hongfeng Guo Yuming Xu Finite Unions of D-Spaces and Applications of Nearly Good Relation Discrete Dynamics in Nature and Society |
| title | Finite Unions of D-Spaces and Applications of Nearly Good Relation |
| title_full | Finite Unions of D-Spaces and Applications of Nearly Good Relation |
| title_fullStr | Finite Unions of D-Spaces and Applications of Nearly Good Relation |
| title_full_unstemmed | Finite Unions of D-Spaces and Applications of Nearly Good Relation |
| title_short | Finite Unions of D-Spaces and Applications of Nearly Good Relation |
| title_sort | finite unions of d spaces and applications of nearly good relation |
| url | http://dx.doi.org/10.1155/2013/808262 |
| work_keys_str_mv | AT xinzhang finiteunionsofdspacesandapplicationsofnearlygoodrelation AT hongfengguo finiteunionsofdspacesandapplicationsofnearlygoodrelation AT yumingxu finiteunionsofdspacesandapplicationsofnearlygoodrelation |