$1\over 2$-Homogeneous hyperspace suspensions
Volume 128 / 2012
Colloquium Mathematicum 128 (2012), 109-132
MSC: Primary 54C60; Secondary 54B20.
DOI: 10.4064/cm128-1-10
Abstract
We continue the study of $1\over 2$-homogeneity of the hyperspace suspension of continua. We prove that if $X$ is a decomposable continuum and its hyperspace suspension is $1\over 2$-homogeneous, then $X$ must be continuum chainable. We also characterize $1\over 2$-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.
