Title

Maps of Absolute Retracts for Tree-like Continua

Editor(s)

Kaiser, Klaus

Abstract

It is shown that the class AR(TL) of absolute retracts for tree-like continua is invariant with respect to monotone maps. From the pastresults it follows that the inverse limit of trees with con uent bonding mapsis an absolute retract for tree-like (and more generally, hereditarily unico-herent) continua. In this paper we provide the rst example of a member ofAR(TL) that is not such a limit.

Department(s)

Mathematics and Statistics

Keywords and Phrases

continuum; Kelley continuum; absolute retract; monotone map; tree-like

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2011 University of Houston, All rights reserved.

This document is currently not available here.

Share

 
COinS