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Countably Compact, Countably Tight, Non-Compact Spaces


Metadata FieldValueLanguage
dc.contributor.advisorGruenhage, Gary
dc.contributor.authorDabbs, James
dc.date.accessioned2011-07-28T19:49:56Z
dc.date.available2011-07-28T19:49:56Z
dc.date.issued2011-07-28
dc.identifier.urihttp://hdl.handle.net/10415/2723
dc.description.abstractIn this work, we will study several examples of countably compact, countably tight, non-compact spaces. After reviewing the important basic notions, we will examine a construction of several such spaces first given by Manes in "Monads in Topology" and will then detail how to construct such spaces using a more direct and explicit topological process. We will then use this new framework to describe several new spaces and to prove several propositions which are much more transparent from this new viewpoint.en_US
dc.rightsEMBARGO_NOT_AUBURNen_US
dc.subjectMathematics and Statisticsen_US
dc.titleCountably Compact, Countably Tight, Non-Compact Spacesen_US
dc.typethesisen_US
dc.embargo.lengthNO_RESTRICTIONen_US
dc.embargo.statusNOT_EMBARGOEDen_US

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