Coarser connected topologies and non-normality points

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.

Grantor dc:publisher

University of Kansas

Year dc:date.issued

2009

Author dc:creator

• Yengulalp, Lynne Christine

Advisor dc:contributor.advisor

• Fleissner, William

• Mathematics

Statement dc:rights

• This item is protected by copyright and unless otherwise specified the copyright of this thesis/dissertation is held by the author.

Language dc:language.iso

EN

Dc Identifier Other

http://dissertations.umi.com/ku:10301

OAI identifier oai:identifier

oai:kuscholarworks.ku.edu:1808/5258