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General and End Compactifications

In: Nonstandard Analysis for the Working Mathematician

Author

Listed:
  • 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)

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.

Suggested Citation

  • Matt Insall & Peter A. Loeb & Małgorzata Aneta Marciniak, 2015. "General and End Compactifications," Springer Books, in: Peter A. Loeb & Manfred P. H. Wolff (ed.), Nonstandard Analysis for the Working Mathematician, edition 2, chapter 0, pages 165-176, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-7327-0_5
    DOI: 10.1007/978-94-017-7327-0_5
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