Title of article
On -homogeneous continua
Author/Authors
Neumann-Lara، نويسنده , , Vيctor and Pellicer-Covarrubias، نويسنده , , Patricia and Puga، نويسنده , , Isabel، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2006
Pages
10
From page
2518
To page
2527
Abstract
A continuum is 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 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 1 2 -homogeneous if and only if X is an arc. Suitable examples and counterexamples are given.
Keywords
1 n -homogeneous , 1 2 -homogeneous , Continuum , cut point , Hereditarily decomposable
Journal title
Topology and its Applications
Serial Year
2006
Journal title
Topology and its Applications
Record number
1580896
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