A note on nearly Alster spaces and it's interrelations with some covering properties

Abstract

We introduce a new form of Alster property and investigate the relationships between the weaker forms of Alster spaces. We also scrutinize it's relations between some selective covering properties. By giving counterexamples, we show the differences between nearly Alster property and those properties. We also consider the productively nearly Lindelöf spaces. We present some topological properties of nearly Alster spaces and characterize nearly Alster property in terms of some selection principles.