International Journal of Mathematics and Mathematical Sciences 
Volume 21 (1998), Issue 4, Pages 735-740
doi:10.1155/S0161171298001021

On spaces whose nowhere dense subsets are scattered

Julian Dontchev1 and David Rose2

 1Department of Mathematics, University of Helsinki, Hallituskatu 15, Helsinki 10 00014, Finland
2Department of Mathematics, Southeastern College, 1000 Longfellow Boulevard, Lakeland 33801-6099, Florida, USA
Received 12 November 1996

Abstract

The aim of this paper is to study the class of N-scattered spaces, i.e. the spaces whose nowhere dense subsets are scattered. The concept was recently used in a decomposition of scatteredness — a topological space (X,τ) is scattered if and only if X is α-scattered (= its α-topology is scattered) and N-scattered.