Fixed point property on symmetric products of chainable continua

Alejandro Illanes

Commentationes Mathematicae Universitatis Carolinae (2009)

  • Volume: 50, Issue: 4, page 615-628
  • ISSN: 0010-2628

Abstract

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We prove that the third symmetric product of a chainable continuum has the fixed point property.

How to cite

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Illanes, 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

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  1. Andersen R.S., Marjanović M.M., Schori R.M., Symmetric products and higher-dimensional dunce hats, Topology Proc. 18 (1993), 7--17. MR1305120
  2. 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
  3. Ganea T., 10.1002/mana.19540110409, Math. Nachr. 11 (1954), 305--316. Zbl0057.15003MR0065919DOI10.1002/mana.19540110409
  4. Higuera G., Illanes A., Fixed point property on symmetric products, preprint. 
  5. Illanes A., Hyperspaces of continua, Open Problems in Topology II, Elliot Pearl (Ed.), pp. 279--288, Elsevier B.V., Amsterdam, 2007. Zbl1064.54015
  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. Zbl0933.54009MR1670250
  7. Nadler S.B., Jr., The fixed point property for continua, Aportaciones Matemáticas: Textos [Mathematical Contributions: Texts] 30. Sociedad Matemática Mexicana, México, 2005. Zbl1127.54001MR2293917
  8. Oledski J., On symmetric products, Fund. Math. 131 (1988), 185--190. MR0978713

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