| Title:
|
Fixed point property on symmetric products of chainable continua (English) |
| Author:
|
Illanes, Alejandro |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
50 |
| Issue:
|
4 |
| Year:
|
2009 |
| Pages:
|
615-628 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that the third symmetric product of a chainable continuum has the fixed point property. (English) |
| Keyword:
|
chainable continuum |
| Keyword:
|
fixed point property |
| Keyword:
|
symmetric product |
| Keyword:
|
universal map |
| MSC:
|
54B20 |
| MSC:
|
54F15 |
| idZBL:
|
Zbl 1212.54035 |
| idMR:
|
MR2583138 |
| . |
| Date available:
|
2009-12-22T10:04:52Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/137451 |
| . |
| Reference:
|
[1] Andersen R.S., Marjanović M.M., Schori R.M.: Symmetric products and higher-dimensional dunce hats.Topology Proc. 18 (1993), 7--17. MR 1305120 |
| Reference:
|
[2] Borsuk K., Ulam S.: Symmetric products of topological spaces.Bull. Amer. Math. Soc. 37 (1931), 875--882. Zbl 0003.22402, MR 1562283, 10.1090/S0002-9904-1931-05290-3 |
| Reference:
|
[3] Ganea T.: Symmetrische Potenzen topologischer Räume.Math. Nachr. 11 (1954), 305--316. Zbl 0057.15003, MR 0065919, 10.1002/mana.19540110409 |
| Reference:
|
[4] Higuera G., Illanes A.: Fixed point property on symmetric products.preprint. |
| Reference:
|
[5] Illanes A.: Hyperspaces of continua.Open Problems in Topology II, Elliot Pearl (Ed.), pp. 279--288, Elsevier B.V., Amsterdam, 2007. Zbl 1064.54015 |
| Reference:
|
[6] Illanes A., Nadler S.B., Jr.: Hyperspaces, Fundamentals and Recent Advances.Monographs and Textbooks in Pure and Applied Math., Vol. 216, Marcel Dekker, Inc., New York, N.Y., 1999. Zbl 0933.54009, MR 1670250 |
| Reference:
|
[7] Nadler S.B., Jr.: The fixed point property for continua.Aportaciones Matemáticas: Textos [Mathematical Contributions: Texts] 30. Sociedad Matemática Mexicana, México, 2005. Zbl 1127.54001, MR 2293917 |
| Reference:
|
[8] Oledski J.: On symmetric products.Fund. Math. 131 (1988), 185--190. MR 0978713 |
| . |
