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/