{"id":{"repo_id":"uab","oai_identifier":"oai:digitalcommons.library.uab.edu:etd-collection-7907"},"canonical_url":"https://search.dev.ndltd.org/etd/uab/oai:digitalcommons.library.uab.edu:etd-collection-7907","repository":{"repo_id":"uab","name":"University of Alabama Birmingham","base_url":"https://digitalcommons.library.uab.edu/do/oai/"},"display":{"title":"Concerning the Dedekind Cut Proposition.","abstract":"The purpose of this thesis is to prove the Dedekind Cut Proposition using two axioms and a few basic definitions. The Dedekind Cut Proposition states that if H and K are two subsets of the arc AB such that each point of AB belongs to H or K in the order from A to B on AB, then either H has a last point or K has a first point in that order.","abstract_html":"The purpose of this thesis is to prove the Dedekind Cut Proposition using two axioms and a few basic definitions. The Dedekind Cut Proposition states that if H and K are two subsets of the arc AB such that each point of AB belongs to H or K in the order from A to B on AB, then either H has a last point or K has a first point in that order.","abstract_has_math":false,"creators":["Hosey, Condi C"],"institution":null,"degree_name":null,"degree_level":"Thesis","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1976,"date_issued":"1976-01-01T08:00:00Z","date_published":"1976-01-01T08:00:00Z","updated_at":"2026-07-24T05:05:46Z","subjects":["Dedekind Cut Proposition","Point sets"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.library.uab.edu/etd-collection/6915","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Hosey, Condi C"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Dedekind Cut Proposition","Point sets"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.library.uab.edu/etd-collection/6915"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The purpose of this thesis is to prove the Dedekind Cut Proposition using two axioms and a few basic definitions. The Dedekind Cut Proposition states that if H and K are two subsets of the arc AB such that each point of AB belongs to H or K in the order from A to B on AB, then either H has a last point or K has a first point in that order."]},{"key":"dc:title","label":"Title","values":["Concerning the Dedekind Cut Proposition."]}]}],"canonical_facts":{"dc:creator":["Hosey, Condi C"],"dc:description.abstract":["The purpose of this thesis is to prove the Dedekind Cut Proposition using two axioms and a few basic definitions. The Dedekind Cut Proposition states that if H and K are two subsets of the arc AB such that each point of AB belongs to H or K in the order from A to B on AB, then either H has a last point or K has a first point in that order."],"dc:identifier":["https://digitalcommons.library.uab.edu/etd-collection/6915"],"dc:subject":["Dedekind Cut Proposition","Point sets"],"dc:title":["Concerning the Dedekind Cut Proposition."],"thesis:degree_level":["Thesis"]},"updated_at":"2026-07-24T05:05:46Z"}