| Title:
|
An example for mappings related to confluence (English) |
| Author:
|
Pyrih, Pavel |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
35 |
| Issue:
|
2 |
| Year:
|
1999 |
| Pages:
|
145-149 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Confluence of a mapping between topological spaces can be defined by several ways. J.J. Charatonik asked if two definitions of the confluence using the components and quasi-components are equivalent for surjective mappings with compact point inverses. We give the negative answer to this question in Example 2.1. (English) |
| Keyword:
|
confluent mapping |
| Keyword:
|
quasi-component |
| Keyword:
|
connected |
| MSC:
|
54C10 |
| MSC:
|
54D05 |
| MSC:
|
54F15 |
| MSC:
|
54G20 |
| idZBL:
|
Zbl 1049.54502 |
| idMR:
|
MR1711736 |
| . |
| Date available:
|
2008-06-06T22:22:57Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107691 |
| . |
| Reference:
|
[1] Charatonik, J. J.: Mappings related to confluence.Arch. Math. (Brno) 32 (1996), 85 – 103. Zbl 0902.54016, MR 1407341 |
| Reference:
|
[2] Lelek, A., Tymchatyn, E. D.: Pseudo-confluent mappings and classification of continua.Canad. J. Math. 27 (1975), 1336 – 1348. MR 0418022 |
| Reference:
|
[3] Steen, L. A., Seebach, J. A. Jr.: Counterexamples in topology.Springer-Verlag, New-York, 1978, pp. . MR 0507446 |
| . |
