| Title:
|
Products of $k$-spaces, and questions (English) |
| Author:
|
Tanaka, Yoshio |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
335-345 |
| . |
| Category:
|
math |
| . |
| Summary:
|
As is well-known, every product of a locally compact space with a $k$-space is a $k$-space. But, the product of a separable metric space with a $k$-space need not be a $k$-space. In this paper, we consider conditions for products to be $k$-spaces, and pose some related questions. (English) |
| Keyword:
|
$k$-space |
| Keyword:
|
sequential space |
| Keyword:
|
strongly Fr'{e}chet space |
| Keyword:
|
bi-$k$-space |
| Keyword:
|
strongly sequential space |
| Keyword:
|
Tanaka space |
| MSC:
|
54B10 |
| MSC:
|
54B15 |
| MSC:
|
54D50 |
| MSC:
|
54D55 |
| idZBL:
|
Zbl 1100.54006 |
| idMR:
|
MR2026168 |
| . |
| Date available:
|
2009-01-08T19:29:38Z |
| Last updated:
|
2020-02-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119390 |
| . |
| Reference:
|
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|
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| . |
