Applications of Stationary Sets in Set Theoretic Topology
Clontz, Steven, Jr.
Type of Degreethesis
DepartmentMathematics and Statistics
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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.
- masters ETD final draft.pdf