Approximating Kelley Continua by Rays

Author

W. J. Charatonik, Missouri University of Science and TechnologyFollow
Robbie A. Beane

Abstract

We investigate what Kelley continua can be approximated by a ray in such a way that the union is a Kelley continua. We show that continua containing triods may not be approximated in this manner, while for hereditarily indecomposable continua, every approximation works. Our main result is that that such an approximation exists for any arc-like continua.

Recommended Citation

W. J. Charatonik and R. A. Beane, "Approximating Kelley Continua by Rays," Topology Atlas, Jan 2006.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Kelley Continua; Continuum (Mathematics); Mappings (Mathematics); Topology

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2006 Topology Atlas, All rights reserved.

Publication Date

01 Jan 2006