International Journal of Mathematics and Mathematical Sciences 
Volume 16 (1993), Issue 1, Pages 101-109
doi:10.1155/S0161171293000122

Topologies between compact and uniform convergence on function spaces

S. Kundu1 and R. A. McCoy2

 1Division of Theoretical Statistics and Mathematics, Indian Statistical Institute, 203 B.T. Road, Calcutta 700 035, India
2Department of Mathematics, Virginia Polytechnic Institute & State University, 460 McBryde Hall, Blacksburg 24061-0123, VA, USA
Received 27 June 1991; Revised 31 July 1991

Abstract

This paper studies two topologies on the set of all continuous real-valued functions on a Tychonoff space which lie between the topologies of compact convergence and uniform convergence.