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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, , and the Stone-Čech compactification, β(χ) – and give conditions which guarantee that β(χ). We also give new examples of topological spaces for which = β(χ).

Faculty Advisor Name

John Richard Stoughton

Faculty Advisor Institution

Hope College

Suggested Mathematics Subject Classification(s)

54m

Included in

Mathematics Commons

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