On frac(1, 2)-homogeneous continua
Por:
Neumann-Lara V., Pellicer-Covarrubias P., Puga I.
Publicada:
1 ene 2006
Resumen:
A continuum is frac(1, 2)-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 frac(1, 2)-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 frac(1, 2)-homogeneous if and only if X is an arc. Suitable examples and counterexamples are given. © 2005 Elsevier B.V. All rights reserved.