Title

Hereditarily Unicoherent Continua and Their Absolute Retracts

Abstract

We investigate absolute retracts for classes of hereditarily unicoherent continua, tree-like continua, λ- dendroids, dendroids and some other related ones. The main results are: (1) the inverse limits of trees with confluent bonding mappings are absolute retracts of hereditarily unicoherent continua; (2) each tree-like continuum is embeddable in a special way in a tree-like absolute retract for the class of hereditarily unicoherent continua; (3) a dendroid is an absolute retract for hereditarily unicoherent continua if and only if it can be embedded as a retract into the Mohler-Nikiel universal smooth dendroid.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Absolute retract; arc approximation property; arc property of Kelley; confluent; continuum; decomposable; dendroid

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2004 Arizona State University, All rights reserved.

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