| Title:
|
Function spaces on ordinals (English) |
| Author:
|
Górak, Rafał |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
46 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
93-103 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give a partial classification of spaces $C_p([1,\alpha])$ of continuous real valued functions on ordinals with the topology of pointwise convergence with respect to homeomorphisms and uniform homeomorphisms. (English) |
| Keyword:
|
function spaces |
| Keyword:
|
pointwise topology |
| Keyword:
|
uniform homeomorphisms |
| Keyword:
|
ordinal numbers |
| MSC:
|
54C35 |
| idZBL:
|
Zbl 1121.54031 |
| idMR:
|
MR2175862 |
| . |
| Date available:
|
2009-05-05T16:49:51Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119511 |
| . |
| Reference:
|
[1] Arkhangel'skii A.V.: Topological Function Spaces.Kluwer Academic Publishers, Dordrecht, 1992. MR 1144519 |
| Reference:
|
[2] Baars J., de Groot J.: On topological and linear equivalence of certain function spaces.CWI Tract 86, Stichting Mathematisch Centrum, Centrum voor Wiskunde en Informatica, Amsterdam, 1992. Zbl 0755.54007, MR 1182148 |
| Reference:
|
[3] Gul'ko S.P.: The space $C_p(X)$ for countable infinite compact $X$ is uniformly homeomorphic to $c_0$.Bull. Polish Acad. Sci. Math. 36 (1988), 391-396. MR 1101684 |
| Reference:
|
[4] Gul'ko S.P.: Spaces of continuous functions on ordinals and ultrafilters.Mat. Zametki 47 (1990), 26-34. MR 1057084 |
| Reference:
|
[5] Kislyakov S.V.: Classification of spaces of continuous functions of ordinals.Siberian Math. J. 16 (1975), 226-231. Zbl 0327.46033 |
| . |
