Title

Atriodic Absolute Retracts for Hereditarily Unicoherent Continua

Abstract

Let X be an absolute retract for the class of hereditarily unicoherent continua that contains no simple triod. In this paper we prove that (a) X is atriodic, (b) X is either an arc or an indecomposable continuum having only arcs as its proper subcontinua; (c) if X is either tree-like or circle-like, then it is arc-like.

Department(s)

Mathematics and Statistics

Sponsor(s)

Norman Hackerman Advanced Research Program
University of Missouri--Rolla

Keywords and Phrases

Absolute retract; arc approximation property; arc component; arc property of Kelley; continuum; dendroid; hereditarily unicoherent; property of Kelley; retraction; simple triod

International Standard Serial Number (ISSN)

0362-158

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2004 University of Houston - Mathematics, All rights reserved.

This document is currently not available here.

Share

 
COinS