| Title:
|
On spaces with point-countable $k$-systems (English) |
| Author:
|
Yoshioka, Iwao |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
45 |
| Issue:
|
4 |
| Year:
|
2004 |
| Pages:
|
749-765 |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper deals with the behavior of $M$-spaces, countably bi-quasi-$k$-spaces and singly bi-quasi-$k$-spaces with point-countable $k$-systems. For example, we show that every $M$-space with a point-countable $k$-system is locally compact paracompact, and every separable singly bi-quasi-$k$-space with a point-countable $k$-system has a countable $k$-system. Also, we consider equivalent relations among spaces entried in Table 1 in Michael's paper [15] when the spaces have point-countable $k$-systems. (English) |
| Keyword:
|
countably-bi-quasi-$k$-space |
| Keyword:
|
point-countable $k$-system |
| Keyword:
|
local compactness |
| Keyword:
|
\newline metrizability |
| MSC:
|
54D55 |
| MSC:
|
54E18 |
| MSC:
|
54E35 |
| idZBL:
|
Zbl 1099.54025 |
| idMR:
|
MR2103090 |
| . |
| Date available:
|
2009-05-05T16:48:59Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119500 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
