Skip to main content
Dissertation
Coarser Connected Topologies and Non-Normality Points
Mathematics Faculty Publications
  • Lynne Yengulalp, University of Dayton
Document Type
Dissertation
Publication Date
1-1-2009
Abstract

We investigate two topics, coarser connected topologies and non-normality points. The motivating question in the first topic is:

Question 0.0.1. 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 c, then it has a coarser connected metrizable topology. The second topic is concerned with the following question:

Question 0.0.2. When is a point y ∈ β X\X a non-normality point of β X\X? 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 y ∈ β X\X a non-normality point of β X\X.

Inclusive pages
1-51
Comments

This document is provided for download by permission of the author. Permission documentation is on file.

Publisher
University of Kansas
Place of Publication
Lawrence, KS
Citation Information
Lynne Yengulalp. "Coarser Connected Topologies and Non-Normality Points" (2009)
Available at: http://works.bepress.com/lynne_yengulalp/7/