Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658418 | Topology and its Applications | 2015 | 19 Pages |
Abstract
We study 12-homogeneity of the n-fold hyperspace suspension of continua. We prove that if X is a decomposable continuum and its n -fold hyperspace suspension is 12-homogeneous, then X must be continuum chainable. We also characterize 12-homogeneity of the hyperspace suspension for several classes of continua including: continua containing a free arc, atriodic and decomposable continua, decomposable irreducible continua about a finite set.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Sergio Macías, Patricia Pellicer-Covarrubias,