| Title:
|
Induced near-homeomorphisms (English) |
| Author:
|
Charatonik, Włodzimierz J. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
2000 |
| Pages:
|
133-137 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We construct examples of mappings $f$ and $g$ between locally connected continua such that $2^f$ and $C(f)$ are near-homeomorphisms while $f$ is not, and $2^g$ is a near-homeomorphism, while $g$ and $C(g)$ are not. Similar examples for refinable mappings are constructed. (English) |
| Keyword:
|
cell-like |
| Keyword:
|
continuum |
| Keyword:
|
dendrite |
| Keyword:
|
hyperspace |
| Keyword:
|
induced mapping |
| Keyword:
|
monotone |
| Keyword:
|
\newline near-homeomorphism |
| Keyword:
|
refinable |
| MSC:
|
54B20 |
| MSC:
|
54E40 |
| idZBL:
|
Zbl 1038.54005 |
| idMR:
|
MR1756933 |
| . |
| Date available:
|
2009-01-08T18:59:15Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119147 |
| . |
| Reference:
|
[1] Charatonik J.J.: Monotone mappings of universal dendrites.Topology Appl. 38 (1991), 163-187. Zbl 0726.54012, MR 1094549 |
| Reference:
|
[2] Ford J., Rogers J.W., Jr.: Refinable maps.Colloq. Math. 39 (1978), 263-269. Zbl 0417.54011, MR 0522365 |
| Reference:
|
[3] Hosokawa H.: Mappings of hyperspaces induced by refinable mappings.Bull. Tokyo Gakugei Univ. (4) 42 (1990), 1-8. Zbl 0719.54008, MR 1076261 |
| Reference:
|
[4] Kato H., Koyama A.: The role of refinable maps - a survey.Topology Proc. 11 (1986), 317-348. Zbl 0642.54009, MR 0945507 |
| Reference:
|
[5] van Mill J.: Infinite-Dimensional Topology.North Holland (1989). Zbl 0663.57001, MR 0977744 |
| Reference:
|
[6] Nadler S.B., Jr.: Hyperspaces of Sets.M. Dekker (1978). Zbl 0432.54007, MR 0500811 |
| Reference:
|
[7] Nadler S.B., Jr.: Induced universal maps and some hyperspaces with the fixed point property.Proc. Amer. Math. Soc. 100 (1987), 749-754. Zbl 0622.54006, MR 0894449 |
| . |
