{"id":{"repo_id":"uab","oai_identifier":"oai:digitalcommons.library.uab.edu:etd-collection-7953"},"canonical_url":"https://search.dev.ndltd.org/etd/uab/oai:digitalcommons.library.uab.edu:etd-collection-7953","repository":{"repo_id":"uab","name":"University of Alabama Birmingham","base_url":"https://digitalcommons.library.uab.edu/do/oai/"},"display":{"title":"A Covering Theorem for Closed and Compact Point Sets.","abstract":"The purpose of my thesis is to prove that it is a consequence of R. L. Moore's Axiom 0 and Axiom 13 that if M is a closed and compact point set and Gis a collection of domains covering M, then there is a finite subcollection of G which covers M. All of the work presented in this thesis, including the proofs of all of the theorems, is my own.","abstract_html":"The purpose of my thesis is to prove that it is a consequence of R. L. Moore's Axiom 0 and Axiom 13 that if M is a closed and compact point set and Gis a collection of domains covering M, then there is a finite subcollection of G which covers M. All of the work presented in this thesis, including the proofs of all of the theorems, is my own.","abstract_has_math":false,"creators":["Woodall, Margaret Gurley"],"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":["Finite subcollection","Compact point set","Positive integer","Infinite sequence"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.library.uab.edu/etd-collection/6961","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Woodall, Margaret Gurley"]}]},{"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":["Finite subcollection","Compact point set","Positive integer","Infinite sequence"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.library.uab.edu/etd-collection/6961"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The purpose of my thesis is to prove that it is a consequence of R. L. Moore's Axiom 0 and Axiom 13 that if M is a closed and compact point set and Gis a collection of domains covering M, then there is a finite subcollection of G which covers M. All of the work presented in this thesis, including the proofs of all of the theorems, is my own."]},{"key":"dc:title","label":"Title","values":["A Covering Theorem for Closed and Compact Point Sets."]}]}],"canonical_facts":{"dc:creator":["Woodall, Margaret Gurley"],"dc:description.abstract":["The purpose of my thesis is to prove that it is a consequence of R. L. Moore's Axiom 0 and Axiom 13 that if M is a closed and compact point set and Gis a collection of domains covering M, then there is a finite subcollection of G which covers M. All of the work presented in this thesis, including the proofs of all of the theorems, is my own."],"dc:identifier":["https://digitalcommons.library.uab.edu/etd-collection/6961"],"dc:subject":["Finite subcollection","Compact point set","Positive integer","Infinite sequence"],"dc:title":["A Covering Theorem for Closed and Compact Point Sets."],"thesis:degree_level":["Thesis"]},"updated_at":"2026-07-24T05:05:46Z"}