A Note on Nearly Alster Spaces and its Interrelations with Some Covering Properties

Abstract

We introduce a new form of Alster property and investigate the relationships between other weaker forms of Alster spaces. We also scrutinize its relations with some selective covering properties. By giving counter-examples, we show the differences between nearly Alster property and those properties. We also consider the productively nearly Lindelof spaces. We present some topological properties of nearly Alster spaces and characterize nearly Alster property in terms of some selection principles.