International Journal of Mathematics and Mathematical Sciences

Volume 2006 (2006), Article ID 82623, 15 pages

doi:10.1155/IJMMS/2006/82623

## Continuity of the maps f ↦ ∪ x ∈ I ω ( x , f ) and f ↦ { ω ( x , f ) : x ∈ I }

# T. H. Steele

Department of Mathematics, Weber State University, Ogden 84408-1702, UT, USA

Received 29 September 2004; Revised 11 December 2005; Accepted 12 February 2006

Copyright © 2006 T. H. Steele. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

We study the behavior of two maps in an effort to better
understand the stability of