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

Kathryn F. Porter

Department of Mathematics and Computer Science, Saint Mary's College of California, Moraga 94575, CA, USA

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.