| Title:
|
A note on D-spaces (English) |
| Author:
|
Lin, Shou |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
47 |
| Issue:
|
2 |
| Year:
|
2006 |
| Pages:
|
313-316 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Every semi-stratifiable space or strong $\Sigma$-space has a $\sigma$-cushioned (mod$k$)-network. In this paper it is showed that every space with a $\sigma$-cushioned (mod$k$)-network is a D-space, which is a common generalization of some results about D-spaces. (English) |
| Keyword:
|
D-spaces |
| Keyword:
|
(mod$k$)-networks |
| Keyword:
|
cushioned collections |
| Keyword:
|
semi-stratifiable spaces |
| MSC:
|
54D20 |
| MSC:
|
54E18 |
| idZBL:
|
Zbl 1150.54340 |
| idMR:
|
MR2241534 |
| . |
| Date available:
|
2009-05-05T16:57:32Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119594 |
| . |
| Reference:
|
[1] Arhangel'skii A.V., Buzyakova R.Z.: Addition theorems and D-spaces.Comment. Math. Univ. Carolin. 43 (2002), 653-663. Zbl 1090.54017, MR 2045787 |
| Reference:
|
[2] Borges C.R., Wehrly A.C.: A study of D-spaces.Topology Proc. 16 (1991), 7-15. Zbl 0787.54023, MR 1206448 |
| Reference:
|
[3] Buzyakova R.Z.: On D-property of strong $\Sigma$-spaces.Comment. Math. Univ. Carolin. 43 (2002), 493-495. Zbl 1090.54018, MR 1920524 |
| Reference:
|
[4] Creede G.: Concerning semi-stratifiable spaces.Pacific J. Math. 32 (1970), 47-54. Zbl 0189.23304, MR 0254799 |
| Reference:
|
[5] van Douwen E.K.: Simultaneous extension of continuous functions.Thesis, Free University, Amsterdam, 1975. |
| Reference:
|
[6] van Douwen E.K., Pfeffer W.F.: Some properties of the Sorgenfrey line and related spaces.Pacific J. Math. 81 (1979), 371-377. Zbl 0409.54011, MR 0547605 |
| Reference:
|
[7] Engelking R.: General Topology (Revised and completed edition).Heldermann Verlag, Berlin, 1989. MR 1039321 |
| Reference:
|
[8] Gruenhage G.: Generalized metric spaces.in Handbook of Set-Theoretic Topology, K. Kunen, J.E. Vaughan (Eds.), Elsevier Science Publishers B.V., Amsterdam, 1984, pp.423-501. Zbl 0794.54034, MR 0776629 |
| . |
