| Title:
|
$\Sigma $-products of paracompact Čech-scattered spaces (English) |
| Author:
|
Tanaka, Hidenori |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
47 |
| Issue:
|
1 |
| Year:
|
2006 |
| Pages:
|
127-140 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we shall discuss $\Sigma $-products of paracompact Čech-scattered spaces and show the following: (1) Let $\Sigma $ be a $\Sigma $-product of paracompact Čech-scattered spaces. If $\Sigma $ has countable tightness, then it is collectionwise normal. (2) If $\Sigma$ is a $\Sigma$-product of first countable, paracompact (subparacompact) Čech-scattered spaces, then it is shrinking (subshrinking). (English) |
| Keyword:
|
$\Sigma $-product |
| Keyword:
|
C-scattered |
| Keyword:
|
Čech-scattered |
| Keyword:
|
paracompact |
| Keyword:
|
subparacompact |
| Keyword:
|
collectionwise normal |
| Keyword:
|
shrinking |
| Keyword:
|
subshrinking |
| Keyword:
|
countable tightness |
| MSC:
|
54B10 |
| MSC:
|
54D15 |
| MSC:
|
54D20 |
| MSC:
|
54G12 |
| idZBL:
|
Zbl 1150.54011 |
| idMR:
|
MR2223972 |
| . |
| Date available:
|
2009-05-05T16:56:06Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119579 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| . |
