Almost and weakly nsr, nsm and nsh spaces

Abstract

We introduce and study some new types of star-selection princi-ples (almost and weakly neighborhood star-Menger, neighborhood star-Rothb-erger, and neighborhood star-Hurewicz). We establish some properties of theseselection principles and their relations with other selection properties of topo-logical spaces. The behavior of these classes of spaces under certain kinds ofmappings is also considered