Abstract
We introduce the concept of a double completely normal topological space or DT5 - space and double Paraproximity space showing that every double space induces a double completely normal topological space and vice verse. [A. Kandi l, O. Tantawy, K. Barakat, and N. Abdelnaby Double Paraproximity Spaces] Life Science Journal,. 2011; 8(4):800-804] (ISSN: 1097-8135). http://www.lifesciencesite.com.