Belal K. Nairat, On Some Properties of Alfa Sets, Journal of Engineering and Applied Sciences, Volume 13,Issue 12, 2018, Pages 4403-4405, ISSN 1816-949x, jeasci.2018.4403.4405, (https://makhillpublications.co/view-article.php?doi=jeasci.2018.4403.4405) Abstract: In this study, we introduce and study the concepts of α–open set, α–continuous functions then, we also study the concepts of α–compact subsets and study some new characterizations of "αconnectedness. Then we discuss the relations between the α–continuous functions and these concepts. Keywords: α–open cove;α–compact;α–open set;α–closed sets;α–continuous;concepts