%0 Journal Article %T Almost and weakly NSR, NSM and NSH spaces %J Khayyam Journal of Mathematics %I Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures) %Z 2423-4788 %A Kocinac, Ljubisa D.R. %A Lakehal, Rachid %A Seba, Djamila %D 2021 %\ 01/01/2021 %V 7 %N 1 %P 40-51 %! Almost and weakly NSR, NSM and NSH spaces %K Selection principles %K star-Menger %K star-Rothberger %K almost NSM %K weakly NSM %R 10.22034/kjm.2020.224608.1753 %X In this paper we introduce and study some new types of star-selection principles (almost and weakly neighbourhood star-Menger, neighbourhood star-Rothberger and neighbourhood star-Hurewicz). We establish some properties of these selection principles and their relations with other selection properties of topological spaces. Behaviour of these classes of spaces under certain kinds of mappings is also considered. %U https://www.kjm-math.org/article_123048_64af716d7e2165b79e543fdc6760fe3a.pdf