| Title:
|
Open maps do not preserve Whyburn property (English) |
| Author:
|
Obersnel, Franco |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
3 |
| Year:
|
2003 |
| Pages:
|
525-530 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that a (weakly) Whyburn space $X$ may be mapped continuously via an open map $f$ onto a non (weakly) Whyburn space $Y$. This fact may happen even between topological groups $X$ and $Y$, $f$ a homomorphism, $X$ Whyburn and $Y$ not even weakly Whyburn. (English) |
| Keyword:
|
weakly Whyburn space |
| Keyword:
|
open function |
| MSC:
|
54A20 |
| MSC:
|
54C10 |
| MSC:
|
54D55 |
| idZBL:
|
Zbl 1098.54008 |
| idMR:
|
MR2025818 |
| . |
| Date available:
|
2009-01-08T19:30:53Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119406 |
| . |
| Reference:
|
[DIT] Dimov G.D., Isler R., Tironi G.: On functions preserving almost radiality and their relations to radial and pseudoradial spaces.Comment. Math. Univ. Carolinae 28.4 (1987), 357-360. MR 0928687 |
| Reference:
|
[O] Obersnel F.: Some notes on weakly Whyburn spaces.Topology Appl., to appear. Zbl 1017.54001, MR 1957419 |
| Reference:
|
[PTTW] Pelant J., Tkachenko M.G., Tkachuk V.V., Wilson R.G.: Pseudocompact Whyburn spaces need not be Fréchet.to appear on PAMS. Zbl 1028.54004, MR 1992867 |
| Reference:
|
[PT] Pultr A., Tozzi A.: Equationally closed subframes and representation of quotient spaces.Cahiers de la Topologie et Géométrie Différentielle Categoriques 34 (1993), 167-183. Zbl 0789.54008, MR 1239466 |
| Reference:
|
[S] Simon P.: On accumulation points.Cahiers de la Topologie et Géométrie Différentielle Categoriques 35 (1994), 321-327. Zbl 0858.54008, MR 1307264 |
| Reference:
|
[TY] Tkachuk V.V., Yashenko I.V.: Almost closed sets and topologies they determine.Comment. Math. Univ. Carolinae 42.2 (2001), 395-405. MR 1832158 |
| . |
