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-...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/808262 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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. |
|---|---|
| ISSN: | 1026-0226 1607-887X |