Characterizations of Nearly Lindelöf Spaces

Abstract

A topological space (X,τ) is said to be nearly Lindel¨of if every regular open cover of (X,τ) admits a countable subcover. In this paper, we obtain new characterizations and preservation theorems of nearly Lindel¨of spaces.

Key words and phrases. regular open set, Lindel¨of, nearly Lindel¨of.

2000 Mathematics Subject Classification. Primary: 54C05, Secondary: 54C08, 54C10