International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 5, Pages 357-360
doi:10.1155/S0161171201003027
Regular-uniform convergence and the open-open topology
Department of Mathematics and Computer Science, Saint Mary's College of California, Moraga 94575, CA, USA
Received 12 February 1999
Copyright © 2001 Kathryn F. Porter. 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
In 1994, Bânzaru introduced the concept of regular-uniform, or r-uniform, convergence on a family of functions. We discuss the
relationship between this topology and the open-open topology,
which was described in 1993 by Porter, on various collections of
functions.