In her thesis, Jocelyn Bell studied the properties of the uncountable Fort space and showed that it was normal, countably paracompact, and collectionwise Hausdorff. This paper answers some of the questions posed in that thesis and shows the space to be collectionwise normal, but not paracompact. We also investigate the ability to generalize these results to higher cardinalities.
","abstract_html":"<p>In her thesis, Jocelyn Bell studied the properties of the uncountable Fort space and showed that it was normal, countably paracompact, and collectionwise Hausdorff. This paper answers some of the questions posed in that thesis and shows the space to be collectionwise normal, but not paracompact. We also investigate the ability to generalize these results to higher cardinalities.</p>","abstract_has_math":false,"creators":["Hankins, Jeffrey Gene"],"institution":null,"degree_name":"Ph.D.","degree_level":"Campus Access Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Peter J Nyikos"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-01-01T08:00:00Z","date_published":"2012-01-01T08:00:00Z","updated_at":"2026-07-24T04:38:07Z","subjects":["Mathematics","Physical Sciences and Mathematics","bell","uncountable Fort space","uniform box product"],"languages":[],"rights":["© 2012, Jeffrey Gene Hankins"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarcommons.sc.edu/etd/1598","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Peter J Nyikos"]},{"key":"dc:creator","label":"Author","values":["Hankins, Jeffrey Gene"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Campus Access Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics","Physical Sciences and Mathematics","bell","uncountable Fort space","uniform box product"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["© 2012, Jeffrey Gene Hankins"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarcommons.sc.edu/etd/1598"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In her thesis, Jocelyn Bell studied the properties of the uncountable Fort space and showed that it was normal, countably paracompact, and collectionwise Hausdorff. This paper answers some of the questions posed in that thesis and shows the space to be collectionwise normal, but not paracompact. We also investigate the ability to generalize these results to higher cardinalities.
"]},{"key":"dc:title","label":"Title","values":["The Uniform Box Product of Some Spaces With One Non-Isolated Point"]}]}],"canonical_facts":{"dc:contributor":["Peter J Nyikos"],"dc:creator":["Hankins, Jeffrey Gene"],"dc:description.abstract":["In her thesis, Jocelyn Bell studied the properties of the uncountable Fort space and showed that it was normal, countably paracompact, and collectionwise Hausdorff. This paper answers some of the questions posed in that thesis and shows the space to be collectionwise normal, but not paracompact. We also investigate the ability to generalize these results to higher cardinalities.
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