Retractions from C(X) onto X and Continua of Type N

Author

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

Abstract

We show that if a metric continuum X is of type N, then there is no a retraction from the hyperspace of subcontinua C(X) onto X, and X admits no mean. We also give an example which answers a question posed by T. J. Lee related to this topic.

Recommended Citation

W. J. Charatonik and F. Capulin, "Retractions from C(X) onto X and Continua of Type N," Houston Journal of Mathematics, University of Houston - Mathematics, Jan 2007.

Department(s)

Mathematics and Statistics

Keywords and Phrases

continuum; hyperspace; means; retraction; type N

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2007 University of Houston - Mathematics, All rights reserved.

Publication Date

01 Jan 2007