General and End Compactifications

Matt Insall (), Peter A. Loeb () and Małgorzata Aneta Marciniak ()
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Matt Insall: Missouri University of Science and Technology, Department of Mathematics and Statistics
Peter A. Loeb: University of Illinois, Department of Mathematics
Małgorzata Aneta Marciniak: LaGuardia Community College, CUNY, Department of Mathematics, Engineering and Computer Science

Chapter Chapter 5 in Nonstandard Analysis for the Working Mathematician, 2015, pp 165-176 from Springer

Abstract: Abstract The intuitive notion of forming a compactification of a topological space is to “attach” new points to a space to “compactify” it. We use equivalence relations on the remote points of an enlargement of a given topological space to produce the new points. Thus, nonstandard methods are shown to unify the various extant approaches to compactification.

Keywords: Remote Point; Nonstandard Methods; Nonstandard Extension; Standard Open Neighborhood; Salbany (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-7327-0_5

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DOI: 10.1007/978-94-017-7327-0_5

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