Marshall University Math Colloquium

Wednesday, October 2, 2013

“Topological completeness”

Dr. Lynne Yengulalp

University of Dayton

Abstract

I will start by reviewing the Baire Category Theorem for complete metric spaces. I will then talk about other classes of topological spaces for which the Baire Category Theorem holds. Such spaces have "generalized" completeness properties extending from the familiar local compactness property to the relatively new property of domain representability.