{"id":{"repo_id":"sfasu","oai_identifier":"oai:scholarworks.sfasu.edu:etds-1246"},"canonical_url":"https://search.dev.ndltd.org/etd/sfasu/oai:scholarworks.sfasu.edu:etds-1246","repository":{"repo_id":"sfasu","name":"Stephen F. Austin State University","base_url":"https://scholarworks.sfasu.edu/do/oai/"},"display":{"title":"TOPOLOGICAL PROPERTIES OF A 3-RUNG MÖBIUS LADDER","abstract":"<p>In this work, we discuss the properties of the 3-rung Möbius ladder on the torus. We also prove ℤ<sub>2</sub> is an orientation preserving topological symmetry group of the 3-rung Möbius ladder with sides and rungs distinct, embedded in the torus.</p>","abstract_html":"&lt;p&gt;In this work, we discuss the properties of the 3-rung Möbius ladder on the torus. We also prove ℤ&lt;sub&gt;2&lt;/sub&gt; is an orientation preserving topological symmetry group of the 3-rung Möbius ladder with sides and rungs distinct, embedded in the torus.&lt;/p&gt;","abstract_has_math":false,"creators":["Woods, Rebecca"],"institution":null,"degree_name":"Master of Science - Mathematical Sciences","degree_level":"Thesis","degree_discipline":"Mathematics and Statistics","degree_department":null,"school":null,"contributors":["Dr. Jane Long","Dr. Jeremy Becnel","Dr. Nicholas Long"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2018,"date_issued":"2018-12-01T08:00:00Z","date_published":"2018-12-01T08:00:00Z","updated_at":"2026-07-24T04:30:22Z","subjects":["Möbius Ladder","Topological Symmetry Groups","Chirality","Geometry and Topology"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarworks.sfasu.edu/etds/229","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Dr. Jane Long","Dr. Jeremy Becnel","Dr. Nicholas Long"]},{"key":"dc:creator","label":"Author","values":["Woods, Rebecca"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2018-12-18T08:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics and Statistics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science - Mathematical Sciences"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Möbius Ladder","Topological Symmetry Groups","Chirality","Geometry and Topology"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarworks.sfasu.edu/etds/229"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<p>In this work, we discuss the properties of the 3-rung Möbius ladder on the torus. We also prove ℤ<sub>2</sub> is an orientation preserving topological symmetry group of the 3-rung Möbius ladder with sides and rungs distinct, embedded in the torus.</p>"]},{"key":"dc:title","label":"Title","values":["TOPOLOGICAL PROPERTIES OF A 3-RUNG MÖBIUS LADDER"]}]}],"canonical_facts":{"dc:contributor":["Dr. Jane Long","Dr. Jeremy Becnel","Dr. Nicholas Long"],"dc:creator":["Woods, Rebecca"],"dc:date.available":["2018-12-18T08:00:00Z"],"dc:description.abstract":["<p>In this work, we discuss the properties of the 3-rung Möbius ladder on the torus. We also prove ℤ<sub>2</sub> is an orientation preserving topological symmetry group of the 3-rung Möbius ladder with sides and rungs distinct, embedded in the torus.</p>"],"dc:identifier":["https://scholarworks.sfasu.edu/etds/229"],"dc:subject":["Möbius Ladder","Topological Symmetry Groups","Chirality","Geometry and Topology"],"dc:title":["TOPOLOGICAL PROPERTIES OF A 3-RUNG MÖBIUS LADDER"],"thesis:degree_discipline":["Mathematics and Statistics"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["Master of Science - Mathematical Sciences"]},"updated_at":"2026-07-24T04:30:22Z"}