Goel, Sudhir K. Nonseparated manifolds and completely unstable flows. (English) Zbl 0623.58015 Int. J. Math. Math. Sci. 10, 745-756 (1987). 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 \(\phi\) on a Hausdorff \((n+1)\)-manifold E. Cited in 1 Document MSC: 37C10 Dynamics induced by flows and semiflows 37C85 Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\) Keywords:order structure; nonseparated manifold; orbit space; completely unstable continuous flow PDFBibTeX XMLCite \textit{S. K. Goel}, Int. J. Math. Math. Sci. 10, 745--756 (1987; Zbl 0623.58015) Full Text: DOI EuDML