| Title:
|
Two remarks on weaker connected topologies (English) |
| Author:
|
Delaney, P. |
| Author:
|
Just, W. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
40 |
| Issue:
|
2 |
| Year:
|
1999 |
| Pages:
|
327-329 |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is shown that no generalized Luzin space condenses onto the unit interval and that the discrete sum of $\aleph_1$ copies of the Cantor set consistently does not condense onto a connected compact space. This answers two questions from [2]. (English) |
| Keyword:
|
condensation |
| Keyword:
|
weaker connected topology |
| Keyword:
|
Luzin space |
| MSC:
|
54A35 |
| MSC:
|
54D05 |
| idZBL:
|
Zbl 0976.54019 |
| idMR:
|
MR1732653 |
| . |
| Date available:
|
2009-01-08T18:52:36Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119088 |
| . |
| Reference:
|
[1] Gruenhage G.: Partitions of compact Hausdorff spaces.Fund. Math. 142 (1993), 89-100. Zbl 0814.54015, MR 1207473 |
| Reference:
|
[2] Tkačenko M.G., Tkachuk V.V., Uspenskij V.V., Wilson R.G.: In quest of weaker connected topologies.Comment. Math. Univ. Carolinae 37.4 (1996), 825-841. MR 1440714 |
| . |
