{"id":{"repo_id":"uab","oai_identifier":"oai:digitalcommons.library.uab.edu:etd-collection-7924"},"canonical_url":"https://search.dev.ndltd.org/etd/uab/oai:digitalcommons.library.uab.edu:etd-collection-7924","repository":{"repo_id":"uab","name":"University of Alabama Birmingham","base_url":"https://digitalcommons.library.uab.edu/do/oai/"},"display":{"title":"Concerning the Covering of Closed and Compact Point Sets.","abstract":"The purpose of this thesis is to use two axioms and a few basic definitions to prove that every closed and compact point set which is covered by a collection of domains is covered by a finite subcollection of those domains.","abstract_html":"The purpose of this thesis is to use two axioms and a few basic definitions to prove that every closed and compact point set which is covered by a collection of domains is covered by a finite subcollection of those domains.","abstract_has_math":false,"creators":["Munyer, Samuel D"],"institution":null,"degree_name":null,"degree_level":"Thesis","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1977,"date_issued":"1977-01-01T08:00:00Z","date_published":"1977-01-01T08:00:00Z","updated_at":"2026-07-24T05:05:46Z","subjects":["Point sets","Compact point sets","Closed point sets"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.library.uab.edu/etd-collection/6932","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Munyer, Samuel D"]}]},{"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":["Point sets","Compact point sets","Closed point sets"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.library.uab.edu/etd-collection/6932"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The purpose of this thesis is to use two axioms and a few basic definitions to prove that every closed and compact point set which is covered by a collection of domains is covered by a finite subcollection of those domains."]},{"key":"dc:title","label":"Title","values":["Concerning the Covering of Closed and Compact Point Sets."]}]}],"canonical_facts":{"dc:creator":["Munyer, Samuel D"],"dc:description.abstract":["The purpose of this thesis is to use two axioms and a few basic definitions to prove that every closed and compact point set which is covered by a collection of domains is covered by a finite subcollection of those domains."],"dc:identifier":["https://digitalcommons.library.uab.edu/etd-collection/6932"],"dc:subject":["Point sets","Compact point sets","Closed point sets"],"dc:title":["Concerning the Covering of Closed and Compact Point Sets."],"thesis:degree_level":["Thesis"]},"updated_at":"2026-07-24T05:05:46Z"}