Arc Property of Kelley and Absolute Retracts for Hereditarily Unicoherent Continua

Author

J. J. Charatonik
W. J. Charatonik, Missouri University of Science and TechnologyFollow
Janusz R. Prajs

Abstract

We investigate absolute retracts for hereditarily unicoherent continua, and also the continua that have the arc property of Kelley (i.e., the continua that satisfy both the property of Kelley and the arc approximation property). Among other results we prove that each absolute retract for hereditarily unicoherent continua (for tree-like continua, for x-dendroids, for dendroids) has the arc property of Kelley.

Recommended Citation

J. J. Charatonik et al., "Arc Property of Kelley and Absolute Retracts for Hereditarily Unicoherent Continua," Colloquium Mathematicum, Polish Academy of Sciences, Jan 2003.

The definitive version is available at https://doi.org/10.4064/cm97-1-6

Department(s)

Mathematics and Statistics

Sponsor(s)

Norman Hackerman Advanced Research Program

Keywords and Phrases

absolute retract; arc approximation property; arc component; arc property of Kelley; continuum; decomposable; dendroid; hereditarily unicoherent; property of Kelley; retraction; tree-like; unionable

International Standard Serial Number (ISSN)

0010-1354

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2003 Polish Academy of Sciences, All rights reserved.

Publication Date

01 Jan 2003