Maps of Absolute Retracts for Tree-like Continua

Author

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

Abstract

It is shown that the class AR(TL) of absolute retracts for treelike continua is invariant with respect to monotone maps. from the past results it follows that the inverse limit of trees with confluent bonding maps is an absolute retract for tree-like (and more generally, hereditarily unicoherent) continua. in this paper we provide the first example of a member of AR(TL) that is not such a limit. © 2011 University of Houston.

Recommended Citation

W. J. Charatonik and J. R. Prajs, "Maps of Absolute Retracts for Tree-like Continua," Houston Journal of Mathematics, vol. 37, no. 3, pp. 967 - 976, University of Houston, Dec 2011.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Absolute retract; Continuum; Kelley continuum; Monotone map; Tree-like

International Standard Serial Number (ISSN)

0362-1588

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 University of Houston, All rights reserved.

Publication Date

26 Dec 2011