On Selectively Star-Lindelof Properties

Abstract

In this paper a new covering notion, called <em>M-</em>star-Lindelof, is introduced and studied. This notion of covering arises from the selection hypothesis SS*_D,fin(D, D). The stronger form SS*_D,1(D, D) of the selection hypothesis SS*_D,fin(D, D) will also be discussed. We then consider weaker versions of these properties involving iterations of the star operator.