A fixed-point anomaly in the plane

Charles L. Hagopian, and Janusz R. Prajs. "A fixed-point anomaly in the plane." Fundamenta Mathematicae 186.3 (2005): 233-249. <http://eudml.org/doc/283379>.

@article{CharlesL2005,
abstract = {We define an unusual continuum M with the fixed-point property in the plane ℝ². There is a disk D in ℝ² such that M ∩ D is an arc and M ∪ D does not have the fixed-point property. This example answers a question of R. H. Bing. The continuum M is a countable union of arcs.},
author = {Charles L. Hagopian, Janusz R. Prajs},
journal = {Fundamenta Mathematicae},
keywords = {fixed-point property; folded spiral; plane continua; polar spiral; hereditarily decomposable continua},
language = {eng},
number = {3},
pages = {233-249},
title = {A fixed-point anomaly in the plane},
url = {http://eudml.org/doc/283379},
volume = {186},
year = {2005},
}

TY - JOUR
AU - Charles L. Hagopian
AU - Janusz R. Prajs
TI - A fixed-point anomaly in the plane
JO - Fundamenta Mathematicae
PY - 2005
VL - 186
IS - 3
SP - 233
EP - 249
AB - We define an unusual continuum M with the fixed-point property in the plane ℝ². There is a disk D in ℝ² such that M ∩ D is an arc and M ∪ D does not have the fixed-point property. This example answers a question of R. H. Bing. The continuum M is a countable union of arcs.
LA - eng
KW - fixed-point property; folded spiral; plane continua; polar spiral; hereditarily decomposable continua
UR - http://eudml.org/doc/283379
ER -