| Title:
|
The $G_\delta$-topology and incompactness of $\omega^\alpha$ (English) |
| Author:
|
Gorelic, Isaac |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
3 |
| Year:
|
1996 |
| Pages:
|
613-616 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We establish a relation between covering properties (e.g\. Lindelöf degree) of two standard topological spaces (Lemmas 4 and 5). Some cardinal inequalities follow as easy corollaries. (English) |
| Keyword:
|
Lindelöf degree |
| Keyword:
|
$G_\delta$ topology |
| Keyword:
|
cardinal functions |
| MSC:
|
45B10 |
| MSC:
|
54A25 |
| MSC:
|
54D20 |
| idZBL:
|
Zbl 0881.54023 |
| idMR:
|
MR1426925 |
| . |
| Date available:
|
2009-01-08T18:26:32Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118867 |
| . |
| Reference:
|
[1] Kunen K.: Box products of ordered spaces.Topology and its applications 20 (1985). Zbl 0583.54005, MR 0804037 |
| Reference:
|
[2] Mycielski J.: $\alpha$-incompactness of $N^\alpha$.Bull. Acad. Pol., vol.XII, no.8, 1964. MR 0211871 |
| Reference:
|
[3] Łoś J.: Linear equations and pure subgroups.Bull. Acad. Polon. Sci. 7 (1959). MR 0103922 |
| Reference:
|
[4] Juhàsz I.: On closed discrete subspaces of product spaces.Bull. Acad. Pol., vol.XVII, no.4, 1969. MR 0254808 |
| Reference:
|
[5] Todorcevi\`c S.: Incompactness of $\Bbb N^\theta$.Handwritten notes, 1990. |
| . |
