We define an order structure on a nonseparated n -manifold. Here, a nonseparated manifold denotes any topological space that is locally Euclidean and has a countable basis; the usual Hausdorff separation property is not required. Our result is that an ordered nonseparated n -manifold X can be realized as an ordered orbit space of a completely unstable continuous flow ϕ on a Hausdorff ( n + 1 ) -manifold E .