The topological fixed point property - an elementary continuum-theoretic approach

Roman Mańka. "The topological fixed point property - an elementary continuum-theoretic approach." Banach Center Publications 77.1 (2007): 183-200. <http://eudml.org/doc/281941>.

@article{RomanMańka2007,
abstract = {A set contained in a topological space has the topological fixed point property if every continuous mapping of the set into itself leaves some point fixed. In 1969, R. H. Bing published his article The Elusive Fixed Point Property, posing twelve intriguing and difficult problems, which exerted a great influence on the study of the fixed point property. We now present a survey article intended for a broad audience that reports on this area of fixed point theory. The exposition is also intended to give an introduction to the current study of the fixed point property from the viewpoint of an elementary continuum theory.},
author = {Roman Mańka},
journal = {Banach Center Publications},
keywords = {fixed point; continuous mapping},
language = {eng},
number = {1},
pages = {183-200},
title = {The topological fixed point property - an elementary continuum-theoretic approach},
url = {http://eudml.org/doc/281941},
volume = {77},
year = {2007},
}

TY - JOUR
AU - Roman Mańka
TI - The topological fixed point property - an elementary continuum-theoretic approach
JO - Banach Center Publications
PY - 2007
VL - 77
IS - 1
SP - 183
EP - 200
AB - A set contained in a topological space has the topological fixed point property if every continuous mapping of the set into itself leaves some point fixed. In 1969, R. H. Bing published his article The Elusive Fixed Point Property, posing twelve intriguing and difficult problems, which exerted a great influence on the study of the fixed point property. We now present a survey article intended for a broad audience that reports on this area of fixed point theory. The exposition is also intended to give an introduction to the current study of the fixed point property from the viewpoint of an elementary continuum theory.
LA - eng
KW - fixed point; continuous mapping
UR - http://eudml.org/doc/281941
ER -