1/2-Homogeneous hyperspace suspensions

Sergio Macías, and Patricia Pellicer-Covarrubias. "1/2-Homogeneous hyperspace suspensions." Colloquium Mathematicae 128.1 (2012): 109-132. <http://eudml.org/doc/283508>.

@article{SergioMacías2012,
abstract = {We continue the study of 1/2-homogeneity of the hyperspace suspension of continua. We prove that if X is a decomposable continuum and its hyperspace suspension is 1/2-homogeneous, then X must be continuum chainable. We also characterize 1/2-homogeneity of the hyperspace suspension for several classes of continua, including: continua containing a free arc, atriodic and decomposable continua, and decomposable irreducible continua about a finite set.},
author = {Sergio Macías, Patricia Pellicer-Covarrubias},
journal = {Colloquium Mathematicae},
keywords = {-homogeneity; continuum; continuum chainable; decomposable continuum; indecomposable continuum; homogeneity; hyperspace; hyperspace suspension; property of Kelley; property of Kelley weakly},
language = {eng},
number = {1},
pages = {109-132},
title = {1/2-Homogeneous hyperspace suspensions},
url = {http://eudml.org/doc/283508},
volume = {128},
year = {2012},
}

TY - JOUR
AU - Sergio Macías
AU - Patricia Pellicer-Covarrubias
TI - 1/2-Homogeneous hyperspace suspensions
JO - Colloquium Mathematicae
PY - 2012
VL - 128
IS - 1
SP - 109
EP - 132
AB - We continue the study of 1/2-homogeneity of the hyperspace suspension of continua. We prove that if X is a decomposable continuum and its hyperspace suspension is 1/2-homogeneous, then X must be continuum chainable. We also characterize 1/2-homogeneity of the hyperspace suspension for several classes of continua, including: continua containing a free arc, atriodic and decomposable continua, and decomposable irreducible continua about a finite set.
LA - eng
KW - -homogeneity; continuum; continuum chainable; decomposable continuum; indecomposable continuum; homogeneity; hyperspace; hyperspace suspension; property of Kelley; property of Kelley weakly
UR - http://eudml.org/doc/283508
ER -