Paranormal space
In mathematics, in the realm of topology, a paranormal space (Nyikos 1984) is a topological space in which every countable discrete collection of closed sets has a locally finite open expansion. == See also == Collectionwise normal space – Property of topological spaces stronger than normality Locally normal space Monotonically normal space – Property of topological spaces stronger than normality Normal space – Type of topological space – a topological space in which every two disjoint closed sets have disjoint open neighborhoods Paracompact space – Topological space which is a generalization of certain compact spaces – a topological space in which every open cover admits an open locally finite refinement Separation axiom – Axioms in topology defining notions of "separation" == References == Nyikos (1984), "Problem Section: Problem B. 25", Top.