Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/1638 2022 2022 Department Of Mathematics, University Of Blida 1, Blida, Algeria Djamal Lhiani This paper is dedicated to introduce some novel topological generalizations of pairwise Lindelöf spaces, which will be called sub-Lindelöf spaces, and to present some results. Also, We suggest two new types of pairwise sublindelöf spaces, as well as types of topological mappings, such as p₁-paralindelöf and p₂-paralindelöf mappings. 2023 2023 29 31 10.54216/GJMSA.040105 https://www.americaspg.com/articleinfo/33/show/1638