| Title:
|
Covering properties in countable products, II (English) |
| Author:
|
Higuchi, Sachio |
| Author:
|
Tanaka, Hidenori |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
47 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
491-502 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we discuss covering properties in countable products of Čech-scattered spaces and prove the following: (1) If $Y$ is a perfect subparacompact space and $\{X_n : n\in \omega \}$ is a countable collection of subparacompact Čech-scattered spaces, then the product $Y\times \prod_{n\in \omega }X_n$ is subparacompact and (2) If $\{X_n : n\in \omega \}$ is a countable collection of metacompact Čech-scattered spaces, then the product $\prod_{n\in \omega }X_n$ is metacompact. (English) |
| Keyword:
|
countable product |
| Keyword:
|
C-scattered |
| Keyword:
|
Čech-scatterd |
| Keyword:
|
subparacompact |
| Keyword:
|
metacompact |
| MSC:
|
54B10 |
| MSC:
|
54D15 |
| MSC:
|
54D20 |
| MSC:
|
54G12 |
| idZBL:
|
Zbl 1150.54010 |
| idMR:
|
MR2281011 |
| . |
| Date available:
|
2009-05-05T16:59:01Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119610 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
