Title

Smoothness of Hyperspaces and of Cartesian Products

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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

continuum; product; property of Kelley; smooth

Library of Congress Subject Headings

Hyperspace

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1999 Auburn University, All rights reserved.


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