| Title:
|
On open light mappings (English) |
| Author:
|
Makuchowski, Władysław |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
779-788 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Whyburn has proved that each open mapping defined on arc (a simple closed curve) is light. Charatonik and Omiljanowski have proved that each open mapping defined on a local dendrite is light. Theorem 3.8 is an extension of these results. (English) |
| Keyword:
|
continuum |
| Keyword:
|
locally connected |
| Keyword:
|
open |
| Keyword:
|
light |
| Keyword:
|
fan |
| Keyword:
|
order |
| Keyword:
|
component number |
| MSC:
|
54C10 |
| MSC:
|
54F50 |
| idZBL:
|
Zbl 0830.54014 |
| idMR:
|
MR1321248 |
| . |
| Date available:
|
2009-01-08T18:15:07Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118719 |
| . |
| Reference:
|
[1] Charatonik J.J., Charatonik W.J., Miklos S.: Confluent mappings of fans.Dissertationes Math. (Rozprawy Mat.) 301 (1990), 1-86. Zbl 0776.54025, MR 1055706 |
| Reference:
|
[2] Charatonik J.J., Omiljanowski K.: On light open mappings.Baku International Topological Conference Proceedings, Baku, 1989, pp. 211-219. Zbl 0817.54010, MR 1347226 |
| Reference:
|
[3] Kuratowski K.: Topology.vol. 2, Academic Press and PWN, 1968. Zbl 0849.01044, MR 0259836 |
| Reference:
|
[4] Maćkowiak T.: Continuous mappings on continua.Dissertationes Math. (Rozprawy Mat.) 158 (1979), 1-91. MR 0522934 |
| Reference:
|
[5] Menger K.: Kurventheorie.Chelsea Publ. Comp., 1967. Zbl 0005.41504, MR 0221475 |
| Reference:
|
[6] Whyburn G.T.: Analytic topology.Amer. Math. Soc. Colloq. Publ., vol. 28, 1942. Zbl 0117.15804, MR 0007095 |
| . |
