International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 3, Pages 451-472
doi:10.1155/S016117128100032X
The star compactification
G.D. Richardson1
and Darrell C. Kent2
1Department of Mathematics, East Carolina University, Greenville 27834, N. C., USA
2Department of Pure and Applied Mathematics, Washington State University, Pullman 99164, Washington, USA
Abstract
The relationships between a convergence space and its star compactification is studied. Special attention is given to lifting properties of this compactification. In particular, it is shown that a natural extension of any continuous function to the respective compactification spaces is θ-continuous.