Ri-continua and Hyperspaces

Author

W. J. Charatonik, Missouri University of Science and TechnologyFollow

Abstract

It is proved that if a continuum X contains an Ri-continuum for some iϵ{1,2,3}, then the hyperspaces 2x and C(X) contain Ri-continua, therefore they are not contractible. Moreover, 2x has no confluent Whitney map. Some examples concerning this subject are given and some

Recommended Citation

W. J. Charatonik, "Ri-continua and Hyperspaces," Topology and its Applications, Elsevier, Jan 1986.

The definitive version is available at https://doi.org/10.1016/0166-8641(85)90040-9

Department(s)

Mathematics and Statistics

Keywords and Phrases

hyperspace; Ri-Continuum; contractible; continuum; Whitney map

International Standard Serial Number (ISSN)

0166-8641

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1986 Elsevier, All rights reserved.

Publication Date

01 Jan 1986