Article Title
Abstract
Given a locally compact, Hausdorff space, χ, there are several ways to compactify it. We examine two of these compactifications – the one-point compactification, X̌, and the Stone-Čech compactification, β(χ) – and give conditions which guarantee that X̌ ≠ β(χ). We also give new examples of topological spaces for which X̌ = β(χ).
Faculty Advisor Name
John Richard Stoughton
Faculty Advisor Institution
Hope College
Suggested Mathematics Subject Classification(s)
54m
Recommended Citation
Jay Blankespoor and John Krueger, Compactifications of Topological Spaces, Furman University Electronic Journal of Undergraduate Mathematics, 2 (2016), 1-5. Available at: https://scholarexchange.furman.edu/fuejum/vol2/iss1/1