{"id":{"repo_id":"siu-theses","oai_identifier":"oai:opensiuc.lib.siu.edu:dissertations-1470"},"canonical_url":"https://search.dev.ndltd.org/etd/siu-theses/oai:opensiuc.lib.siu.edu:dissertations-1470","repository":{"repo_id":"siu-theses","name":"Southern Illinois University","base_url":"https://opensiuc.lib.siu.edu/do/oai/"},"display":{"title":"Smale Flows on Three Dimensional Manifolds","abstract":"We discuss how to realize simple Smale Flows on 3-manifolds. We focus on three questions: (1) What are the topological conjugate classes of Lorenz Smale flows that can be realized on <italic>S<super>3</super></italic>? (2) Which 3-manifolds can also admit a Lorenz Smale flow? (3) What are the topological conjugate classes of simple Smale flows whose saddle set can be modeled by &nu(0+,0+,0,0) can be realized on <italic>S<super>3</super></italic>? This dissertation extends the work of M. Sullivan and B. Yu.","abstract_html":"We discuss how to realize simple Smale Flows on 3-manifolds. We focus on three questions: (1) What are the topological conjugate classes of Lorenz Smale flows that can be realized on &lt;italic&gt;S&lt;super&gt;3&lt;/super&gt;&lt;/italic&gt;? (2) Which 3-manifolds can also admit a Lorenz Smale flow? (3) What are the topological conjugate classes of simple Smale flows whose saddle set can be modeled by &amp;nu(0+,0+,0,0) can be realized on &lt;italic&gt;S&lt;super&gt;3&lt;/super&gt;&lt;/italic&gt;? This dissertation extends the work of M. Sullivan and B. Yu.","abstract_has_math":false,"creators":["Haynes, Elizabeth Lydia"],"institution":null,"degree_name":"Doctor of Philosophy","degree_level":"Campus Only Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Sullivan, Michael"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-05-01T07:00:00Z","date_published":"2012-05-01T07:00:00Z","updated_at":"2026-07-24T04:33:54Z","subjects":["3-manifolds","Smale Flows","templates"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://opensiuc.lib.siu.edu/dissertations/470","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Sullivan, Michael"]},{"key":"dc:creator","label":"Author","values":["Haynes, Elizabeth Lydia"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Campus Only Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["3-manifolds","Smale Flows","templates"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://opensiuc.lib.siu.edu/dissertations/470"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We discuss how to realize simple Smale Flows on 3-manifolds. We focus on three questions: (1) What are the topological conjugate classes of Lorenz Smale flows that can be realized on <italic>S<super>3</super></italic>? (2) Which 3-manifolds can also admit a Lorenz Smale flow? (3) What are the topological conjugate classes of simple Smale flows whose saddle set can be modeled by &nu(0+,0+,0,0) can be realized on <italic>S<super>3</super></italic>? This dissertation extends the work of M. Sullivan and B. Yu."]},{"key":"dc:title","label":"Title","values":["Smale Flows on Three Dimensional Manifolds"]}]}],"canonical_facts":{"dc:contributor":["Sullivan, Michael"],"dc:creator":["Haynes, Elizabeth Lydia"],"dc:description.abstract":["We discuss how to realize simple Smale Flows on 3-manifolds. We focus on three questions: (1) What are the topological conjugate classes of Lorenz Smale flows that can be realized on <italic>S<super>3</super></italic>? (2) Which 3-manifolds can also admit a Lorenz Smale flow? (3) What are the topological conjugate classes of simple Smale flows whose saddle set can be modeled by &nu(0+,0+,0,0) can be realized on <italic>S<super>3</super></italic>? This dissertation extends the work of M. Sullivan and B. Yu."],"dc:identifier":["https://opensiuc.lib.siu.edu/dissertations/470"],"dc:subject":["3-manifolds","Smale Flows","templates"],"dc:title":["Smale Flows on Three Dimensional Manifolds"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Campus Only Dissertation"],"thesis:degree_name":["Doctor of Philosophy"]},"updated_at":"2026-07-24T04:33:54Z"}