A weakly chainable uniquely arcwise connected continuum without the fixed point property

Mirosław Sobolewski. "A weakly chainable uniquely arcwise connected continuum without the fixed point property." Fundamenta Mathematicae 228.1 (2015): 81-86. <http://eudml.org/doc/286333>.

@article{MirosławSobolewski2015,
abstract = {A continuum is a metric compact connected space. A continuum is chainable if it is an inverse limit of arcs. A continuum is weakly chainable if it is a continuous image of a chainable continuum. A space X is uniquely arcwise connected if any two points in X are the endpoints of a unique arc in X. D. P. Bellamy asked whether if X is a weakly chainable uniquely arcwise connected continuum then every mapping f: X → X has a fixed point. We give a counterexample.},
author = {Mirosław Sobolewski},
journal = {Fundamenta Mathematicae},
keywords = {continuum; arcwise connected; chainable; fixed point},
language = {eng},
number = {1},
pages = {81-86},
title = {A weakly chainable uniquely arcwise connected continuum without the fixed point property},
url = {http://eudml.org/doc/286333},
volume = {228},
year = {2015},
}

TY - JOUR
AU - Mirosław Sobolewski
TI - A weakly chainable uniquely arcwise connected continuum without the fixed point property
JO - Fundamenta Mathematicae
PY - 2015
VL - 228
IS - 1
SP - 81
EP - 86
AB - A continuum is a metric compact connected space. A continuum is chainable if it is an inverse limit of arcs. A continuum is weakly chainable if it is a continuous image of a chainable continuum. A space X is uniquely arcwise connected if any two points in X are the endpoints of a unique arc in X. D. P. Bellamy asked whether if X is a weakly chainable uniquely arcwise connected continuum then every mapping f: X → X has a fixed point. We give a counterexample.
LA - eng
KW - continuum; arcwise connected; chainable; fixed point
UR - http://eudml.org/doc/286333
ER -