Raad Aziz Hussain Al-Abdulla, Fadhel Attala Shneef, On the Lindel of Spaces by Using coc-r-Open Sets, Journal of Engineering and Applied Sciences, Volume 13,Issue 24, 2018, Pages 10203-10212, ISSN 1816-949x, jeasci.2018.10203.10212, (https://makhillpublications.co/view-article.php?doi=jeasci.2018.10203.10212) Abstract: The purpose of this research is to extend and study types of topological spaces as Lindelof spaces by using coc-r-open sets. In this study, we study and introduce the concepts of coc-r-open sets. A special intrest types of spaces called coc-r-Lindelof and I-coc-r-Lindelof are studied and obtain some of their basic properties.We introduce new types of functions using coc-r-open sets. Moreover, the relation between Lindelof, I-Lindelof, coc-r-Lindelof and I-coc-r-Lindelof spaces are studied and investigated the topological properties of them using coc-r-open sets. Keywords: coc-r-$-open and coc-r-regular;coc-r-open;open sets;l-coc-r-Lindelof;coc-r-extremally disconnected;coc-r-Lindelof and I-coc-r-Lindelof spaces