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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm128-1-10,
author = {Sergio Mac\'\i as and Patricia Pellicer-Covarrubias},
title = {1/2-Homogeneous hyperspace suspensions},
journal = {Colloquium Mathematicae},
volume = {126},
year = {2012},
pages = {109-132},
zbl = {1275.54011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm128-1-10}
}
Sergio Macías; Patricia Pellicer-Covarrubias. 1/2-Homogeneous hyperspace suspensions. Colloquium Mathematicae, Tome 126 (2012) pp. 109-132. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm128-1-10/