| dc.contributor.author | Basener, William | en_US |
| dc.contributor.author | Sullivan, Michael | en_US |
| dc.date.accessioned | 2007-09-13T01:54:43Z | en_US |
| dc.date.available | 2007-09-13T01:54:43Z | en_US |
| dc.date.issued | 2006-02-01 | en_US |
| dc.identifier.citation | Topology and its Applications 153N8 (2006) 1236-1240 | en_US |
| dc.identifier.issn | 0166-8641 | en_US |
| dc.identifier.uri | http://hdl.handle.net/1850/4684 | en_US |
| dc.description | RIT community members may access full-text via RIT Libraries licensed databases: http://library.rit.edu/databases/ | |
| dc.description.abstract | Suppose that () is a nonsingular (fixed point free) C^1 flow on a
smooth closed 3-dimensional manifold M with H2(M) = 0. Suppose that () has a dense orbit. We show that there exists an open dense set N µ M such
that any knotted periodic orbit which intersects N is a nontrivial prime knot (Refer to PDF file for exact formulas). | en_US |
| dc.description.sponsorship | None | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | Elsevier Science B.V., Amsterdam | en_US |
| dc.relation.ispartofseries | vol. 153 | en_US |
| dc.relation.ispartofseries | no. 8 | en_US |
| dc.subject | Dense orbit | en_US |
| dc.subject | Global cross section | en_US |
| dc.subject | Minimal flow | en_US |
| dc.subject | Knots | en_US |
| dc.subject | Prime knots | en_US |
| dc.subject | Transitive flow | en_US |
| dc.title | Periodic prime knots and topologically transitive flows on 3-manifolds | en_US |
| dc.type | Article | en_US |
| dc.identifier.url | http://dx.doi.org/10.1016/j.topol.2005.03.009 | |
