International Journal of Mathematics and Mathematical Sciences 
Volume 2 (1979), Issue 3, Pages 345-368
doi:10.1155/S0161171279000302

Compactifications of convergens spaces

D. C. Kent1 and G. D. Richardson2

 1Department of Pure and Applied Mathematics, Washington State University, Pullman 99163, Washington, USA
2Department of Mathematics, East Carolina University, Greenville 27834, North Carolina, USA
Received 15 May 1979

Abstract

This paper summarizes most of the results to date on convergence space compactifications, and establishes necessary and sufficient conditions for the existence of largest and smallest compactifications subject to various conditions imposed upon the compactifications.