Nonseparated manifolds and completely unstable flows
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...
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| Format: | Article |
| Language: | English |
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Wiley
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117128700084X |
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| _version_ | 1832566956198199296 |
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| author | Sudhir K. Goel |
| author_facet | Sudhir K. Goel |
| author_sort | Sudhir K. Goel |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7167da4a5dd04395b2ca002229a338c8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7167da4a5dd04395b2ca002229a338c82025-02-03T01:02:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-0110474575610.1155/S016117128700084XNonseparated manifolds and completely unstable flowsSudhir K. Goel0University of Houston-Downtown, Houston, Texas 77002, USAWe 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.http://dx.doi.org/10.1155/S016117128700084Xcompletely unstable flowsnonseparated manifoldsorder structureorbit space. |
| spellingShingle | Sudhir K. Goel Nonseparated manifolds and completely unstable flows International Journal of Mathematics and Mathematical Sciences completely unstable flows nonseparated manifolds order structure orbit space. |
| title | Nonseparated manifolds and completely unstable flows |
| title_full | Nonseparated manifolds and completely unstable flows |
| title_fullStr | Nonseparated manifolds and completely unstable flows |
| title_full_unstemmed | Nonseparated manifolds and completely unstable flows |
| title_short | Nonseparated manifolds and completely unstable flows |
| title_sort | nonseparated manifolds and completely unstable flows |
| topic | completely unstable flows nonseparated manifolds order structure orbit space. |
| url | http://dx.doi.org/10.1155/S016117128700084X |
| work_keys_str_mv | AT sudhirkgoel nonseparatedmanifoldsandcompletelyunstableflows |