Article ID Journal Published Year Pages File Type
4658418 Topology and its Applications 2015 19 Pages PDF
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
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