| Title:
|
Spaces of continuous characteristic functions (English) |
| Author:
|
Buzyakova, Raushan Z. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
47 |
| Issue:
|
4 |
| Year:
|
2006 |
| Pages:
|
599-608 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that if $X$ is first-countable, of countable extent, and a subspace of some ordinal, then $C_p(X,2)$ is Lindelöf. (English) |
| Keyword:
|
$C_p(X, Y)$ |
| Keyword:
|
subspace of ordinals |
| Keyword:
|
countable extent |
| Keyword:
|
Lindel" of space |
| MSC:
|
54C35 |
| MSC:
|
54D20 |
| MSC:
|
54F05 |
| idZBL:
|
Zbl 1150.54017 |
| idMR:
|
MR2337414 |
| . |
| Date available:
|
2009-05-05T16:59:51Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119620 |
| . |
| Reference:
|
[AR1] Arhangelskii A.: Topological Function Spaces.Math. Appl., vol. 78, Kluwer Academic Publisher, Dordrecht, 1992. MR 1144519 |
| Reference:
|
[AR2] Arhangelskii A.: Some Metrization Theorems (Russian).Uspehi Mat. Nauk 18 5 (113) 139-145 (1963). MR 0156318 |
| Reference:
|
[ASA] Asanov M.O.: On cardinal invariants of function spaces.Modern Topology and Set Theory, Igevsk, (2), 1979, pp.8-12. |
| Reference:
|
[BUZ] Buzyakova R.Z.: In search for Lindelöf $C_p$'s.Comment. Math. Univ. Carolin. 45 (2004), 1 145-151. Zbl 1098.54010, MR 2076866 |
| Reference:
|
[ENG] Engelking R.: General Topology.Sigma Series in Pure Mathematics, 6, Heldermann, Berlin, revised ed., 1989. Zbl 0684.54001, MR 1039321 |
| Reference:
|
[NAH] Nahmanson L.B.: Lindelöfness in function spaces.Fifth Teraspol Simposium on Topology and its Applications, Kishinev, 1985, 183. |
| . |
