| Title:
|
Relative symmetrizability and metrizability (English) |
| Author:
|
Arhangel'skii, A. V. |
| Author:
|
Gordienko, I. Ju. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
4 |
| Year:
|
1996 |
| Pages:
|
757-774 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Relative metrizability is defined and connections with other relative properties are established. (English) |
| Keyword:
|
relative metrizability |
| Keyword:
|
relative proper metrizability |
| Keyword:
|
relative paracompactness |
| MSC:
|
54A05 |
| MSC:
|
54A25 |
| MSC:
|
54E35 |
| idZBL:
|
Zbl 0886.54001 |
| idMR:
|
MR1440706 |
| . |
| Date available:
|
2009-01-08T18:27:44Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118883 |
| . |
| Reference:
|
[1] Arens R.: Note on convergence in topology.Math. Mag. 23 (1950), 229-234. Zbl 0041.31502, MR 0037500 |
| Reference:
|
[2] Arhangel'skii A.V.: External bases in bicompacta.Soviet Math. Dokl. 1:3 (1960), 573-574. MR 0119188 |
| Reference:
|
[3] Arhangel'skii A.V.: Mappings and spaces.Russian Math. Surveys 21:4 (1966), 115-162. MR 0227950 |
| Reference:
|
[4] Arhangel'skii A.V., and Genedi H.M.M.: Beginnings of the theory of relative topological properties.pp.3-48 in: General Topology. Spaces and mappings, MGU, Moscow, 1989 (in Russian). |
| Reference:
|
[5] Arhangel'skii A.V., Gordienko I.Ju.: On relative normality and relative symmetrizability.Moscow University Math. Bull. 50:3 (1995), 32-36. MR 1376351 |
| Reference:
|
[6] Aull C.E.: Paracompact subsets.Proc. of the Second Prague Topological Symposium, pp.45-51, Prague, 1966. Zbl 0227.54015, MR 0234420 |
| Reference:
|
[7] Aull C.E.: Collectionwise normal subsets.J. London Math. Soc. 2:1 (1969), 155-162. Zbl 0182.56102, MR 0248709 |
| Reference:
|
[8] Aull C.E.: Paracompact and countably paracompact subsets.Proc. of the Kanpur Topological Conference, pp.49-53, 1968. Zbl 0227.54015 |
| Reference:
|
[9] Corson H.H., Michael E.: Metrization of certain countable unions.Illinois J. Math. 8 (1964), 351-360. MR 0170324 |
| Reference:
|
[10] Engelking R.: General Topology.Heldermann, Berlin, 1989. Zbl 0684.54001, MR 1039321 |
| Reference:
|
[11] Nedev S.J.: $o$-metrizable spaces.Mosc. Math. Soc. Trans. 24 (1971), 213-247. MR 0367935 |
| . |
