This Is AuburnElectronic Theses and Dissertations

Applications of Stationary Sets in Set Theoretic Topology

Date

2010-11-10

Author

Clontz, Steven, Jr.

Type of Degree

thesis

Department

Mathematics and Statistics

Abstract

The notion of a stationary subset of a regular cardinal, a set which intersects any closed unbounded subset of that cardinal, is a useful tool in investigating certain properties of topological spaces. In this paper we utilize stationary sets to achieve an interesting characterization of paracompactness of a linearly ordered topological space. We also use stationary sets to find a pair of Baire spaces whose product is not Baire.