Almost and weakly NSR, NSM and NSH spaces

Document Type : Original Article


1 Department of Mathematics, Faculty of Sciences and Mathematics, University of Nis, Nis, Serbia

2 Dynamic of Engines and Vibroacoustic Laboratory, University M'Hamed Bougara of Boumerdes, Algeria



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.