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Title: | On 1/2-homogeneous continua |
Authors: | Neumann-Lara, V Pellicer-Covarrubias, P Puga, I |
Issue Date: | 2006 |
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. (C) 2005 Elsevier B.V. All rights reserved. |
URI: | http://hdl.handle.net/11154/1290 |
ISSN: | 0166-8641 |
Appears in Collections: | Matemáticas
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