Title

Gate Continua, Absolute Terminal Continua and Absolute Retracts

Abstract

The following classes K of continua are studied in the paper: (hereditarily decomposable) arc-like, hereditarily irreducible, atriodic, and containing no n-od. If X; Y;Z;K 2 K, with X [ Y = Z, X \ Y = K and X 6= Z 6= Y , then K is called a gate continuum in X for K. We characterize gate subcontinua in members of the above classes K. The characterizations are used to construct absolute terminal continua for K, i.e., continua X in K that are terminal in Y 2 K whenever X º Y . These results are applied to investigating properties of absolute retracts for K.

Department(s)

Mathematics and Statistics

Keywords and Phrases

absolute retract; arc component; arc-like; atriodic; continuum; decomposable; gate; hereditarily unicoherent; n-od; retraction; tree-like

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2002 University of Houston, All rights reserved.

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