In topology and related areas of mathematics, a topological space X {\displaystyle X} is a nodec space if every nowhere dense subset of X {\displaystyle X} is closed. This concept was introduced and studied by van Douwen (1993).
References van Douwen, E. K. (1993), "Applications of maximal topologies", Topology and Its Applications, 51 (2): 125–139, doi:10.1016/0166-8641(93)90145-4, MR 1229708.