| Title:
|
A topological space is strongly paracompact if and only if for any monotone increasing open cover of it there exists a star-finite open refinement (English) |
| Author:
|
Han-Zhang, Qu |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
58 |
| Issue:
|
2 |
| Year:
|
2008 |
| Pages:
|
487-491 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We get the following result. A topological space is strongly paracompact if and only if for any monotone increasing open cover of it there exists a star-finite open refinement. We positively answer a question of the strongly paracompact property. (English) |
| Keyword:
|
paracompact property |
| Keyword:
|
strongly paracompact property |
| MSC:
|
54C35 |
| MSC:
|
54D20 |
| MSC:
|
54E32 |
| idZBL:
|
Zbl 1174.54013 |
| idMR:
|
MR2411104 |
| . |
| Date available:
|
2009-09-24T11:56:20Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128272 |
| . |
| Reference:
|
[1] Ryszard Engelking: General Topology.Panstwowe Wydawnictwo Naukowe, 1977. MR 0500780 |
| Reference:
|
[2] Yoshikazu Yasui: Generalization Paracompactness.Chapter 13 of Topics in General topology (Editor by Kitti Morit and Jun-iti Nagata), Elsever Science Publishers B.V., 1989. |
| Reference:
|
[3] Wang Shu-tang, Dai Jin-sheng and Wang Shang-zhi: Principles of General Topology.Science and Technique Press of Shannxi, China, 1985. |
| Reference:
|
[4] Jiang Ji-guang: Especial Topics of General Topology.Education Press of Sichuan, China, 1991. |
| . |
