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Coarser connected topologies and non-normality points
dc.contributor.advisor | Fleissner, William | |
dc.contributor.author | Yengulalp, Lynne Christine | |
dc.date.accessioned | 2009-06-18T20:47:18Z | |
dc.date.available | 2009-06-18T20:47:18Z | |
dc.date.issued | 2009-01-01 | |
dc.date.submitted | 2009 | |
dc.identifier.other | http://dissertations.umi.com/ku:10301 | |
dc.identifier.uri | http://hdl.handle.net/1808/5258 | |
dc.description.abstract | We investigate two topics, coarser connected topologies and non-normality points. The motivating question in the first topic is: When does a space have a coarser connected topology with a nice topological property? We will discuss some results when the property is Hausdorff and prove that if X is a non-compact metric space that has weight at least the cardinality of the continuum, then it has a coarser connected metrizable topology. The second topic is concerned with the following question: When is a point of the Stone-Cech remainder of a space a non-normality point of the remainder? We will discuss the question in the case that X is a discrete space and then when X is a metric space without isolated points. We show that under certain set-theoretic conditions, if X is a locally compact metric space without isolated points then every point in the Stone-Cech remainder is a non-normality point of the remainder. | |
dc.format.extent | 51 pages | |
dc.language.iso | EN | |
dc.publisher | University of Kansas | |
dc.rights | This item is protected by copyright and unless otherwise specified the copyright of this thesis/dissertation is held by the author. | |
dc.subject | Mathematics | |
dc.title | Coarser connected topologies and non-normality points | |
dc.type | Dissertation | |
dc.contributor.cmtemember | Agah, Arvin | |
dc.contributor.cmtemember | Porter, Jack | |
dc.contributor.cmtemember | Roitman, Judith | |
dc.contributor.cmtemember | Torres, Rodolfo | |
dc.thesis.degreeDiscipline | Mathematics | |
dc.thesis.degreeLevel | Ph.D. | |
kusw.oastatus | na | |
kusw.oapolicy | This item does not meet KU Open Access policy criteria. | |
kusw.bibid | 6857443 | |
dc.rights.accessrights | openAccess |
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Dissertations [4889]
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Mathematics Dissertations and Theses [179]