| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661260 | Topology and its Applications | 2006 | 10 Pages |
Abstract
A continuum is -homogeneous provided there are exactly two orbits for the action of the group of homeomorphisms of the continuum onto itself. In this paper we study some relations between -homogeneous continua and their set of cut points. We also prove that if X is a hereditarily decomposable continuum whose proper, nondegenerate subcontinua are arc-like, then X is -homogeneous if and only if X is an arc. Suitable examples and counterexamples are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
