Fixed point property on symmetric products of chainable continua
Commentationes Mathematicae Universitatis Carolinae (2009)
- Volume: 50, Issue: 4, page 615-628
- ISSN: 0010-2628
Access Full Article
topAbstract
topHow to cite
topIllanes, Alejandro. "Fixed point property on symmetric products of chainable continua." Commentationes Mathematicae Universitatis Carolinae 50.4 (2009): 615-628. <http://eudml.org/doc/35135>.
@article{Illanes2009,
abstract = {We prove that the third symmetric product of a chainable continuum has the fixed point property.},
author = {Illanes, Alejandro},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {chainable continuum; fixed point property; symmetric product; universal map; chainable continuum; fixed point property; symmetric product; universal map},
language = {eng},
number = {4},
pages = {615-628},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Fixed point property on symmetric products of chainable continua},
url = {http://eudml.org/doc/35135},
volume = {50},
year = {2009},
}
TY - JOUR
AU - Illanes, Alejandro
TI - Fixed point property on symmetric products of chainable continua
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2009
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 50
IS - 4
SP - 615
EP - 628
AB - We prove that the third symmetric product of a chainable continuum has the fixed point property.
LA - eng
KW - chainable continuum; fixed point property; symmetric product; universal map; chainable continuum; fixed point property; symmetric product; universal map
UR - http://eudml.org/doc/35135
ER -
References
top- Andersen R.S., Marjanović M.M., Schori R.M., Symmetric products and higher-dimensional dunce hats, Topology Proc. 18 (1993), 7--17. MR1305120
- Borsuk K., Ulam S., 10.1090/S0002-9904-1931-05290-3, Bull. Amer. Math. Soc. 37 (1931), 875--882. Zbl0003.22402MR1562283DOI10.1090/S0002-9904-1931-05290-3
- Ganea T., 10.1002/mana.19540110409, Math. Nachr. 11 (1954), 305--316. Zbl0057.15003MR0065919DOI10.1002/mana.19540110409
- Higuera G., Illanes A., Fixed point property on symmetric products, preprint.
- Illanes A., Hyperspaces of continua, Open Problems in Topology II, Elliot Pearl (Ed.), pp. 279--288, Elsevier B.V., Amsterdam, 2007. Zbl1064.54015
- 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. Zbl0933.54009MR1670250
- Nadler S.B., Jr., The fixed point property for continua, Aportaciones Matemáticas: Textos [Mathematical Contributions: Texts] 30. Sociedad Matemática Mexicana, México, 2005. Zbl1127.54001MR2293917
- Oledski J., On symmetric products, Fund. Math. 131 (1988), 185--190. MR0978713
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.