AL-Qadisiyah Journal of pure Science Vol.23 No. 2 Year 2018 254 Compactly Supra b-k-closed Sets By Hanan Ali Hussein University of Kufa – Faculty of Education for Girls Department of Mathematics E-mail : hanana.hussein@uokufa.edu.iq Received:- 8/1/2017 Accepted:-9/4/2017 Abstract: In this paper we advance a modern class of sets called compactly Sb-closed sets and compactly Sb-k-closed sets, and prove that every compactly Sb-k-closed set is compactly Sb- closed set in any supra topological space Z, and the converse is true if Z is supra 2 T -space. Keywords : Sb-open set, compact Sb-open set, strongly Sb-compact set. Physical Classification QA440 -699