Smoothness of Hyperspaces and of Cartesian Products
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.
W. J. Charatonik and W. Makuchowski, "Smoothness of Hyperspaces and of Cartesian Products," Topology Proceedings, Auburn University, Jan 1999.
Mathematics and Statistics
Keywords and Phrases
Continuum; Product; Property Of Kelley; Smooth; Hyperspace
Article - Journal
© 1999 Auburn University, All rights reserved.
01 Jan 1999