Smoothness of Hyperspaces and of Cartesian Products

Author

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

Abstract

We show that for any continua X and Y the smoothness of either the hyperspace C(X) or 2x or of the Cartesian product X x Y implies the ptoperty of Kelley for X. An example is constructed showing that the converse is not true.

Recommended Citation

W. J. Charatonik and W. Makuchowski, "Smoothness of Hyperspaces and of Cartesian Products," Topology Proceedings, Auburn University, Jan 1999.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Continuum; Product; Property Of Kelley; Smooth; Hyperspace

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1999 Auburn University, All rights reserved.

Publication Date

01 Jan 1999