×

Nonseparated manifolds and completely unstable flows. (English) Zbl 0623.58015

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.

MSC:

37C10 Dynamics induced by flows and semiflows
37C85 Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\)
PDFBibTeX XMLCite
Full Text: DOI EuDML